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 | 83.2 | ||
Root | \(-0.965926 - 0.258819i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 570.83 |
Dual form | 570.2.v.b.467.2 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.258819 | − | 0.965926i | 0.183013 | − | 0.683013i | ||||
\(3\) | −0.724745 | + | 1.57313i | −0.418432 | + | 0.908248i | ||||
\(4\) | −0.866025 | − | 0.500000i | −0.433013 | − | 0.250000i | ||||
\(5\) | 1.67303 | + | 1.48356i | 0.748203 | + | 0.663470i | ||||
\(6\) | 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 | ||||
\(10\) | 1.86603 | − | 1.23205i | 0.590089 | − | 0.389609i | ||||
\(11\) | 0.171573i | 0.0517312i | 0.999665 | + | 0.0258656i | \(0.00823419\pi\) | ||||
−0.999665 | + | 0.0258656i | \(0.991766\pi\) | |||||||
\(12\) | 1.41421 | − | 1.00000i | 0.408248 | − | 0.288675i | ||||
\(13\) | 2.73205 | − | 0.732051i | 0.757735 | − | 0.203034i | 0.140788 | − | 0.990040i | \(-0.455036\pi\) |
0.616946 | + | 0.787005i | \(0.288370\pi\) | |||||||
\(14\) | −1.50000 | − | 2.59808i | −0.400892 | − | 0.694365i | ||||
\(15\) | −3.54636 | + | 1.55670i | −0.915667 | + | 0.401937i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | −0.580438 | + | 2.16622i | −0.140777 | + | 0.525387i | 0.859130 | + | 0.511757i | \(0.171005\pi\) |
−0.999907 | + | 0.0136295i | \(0.995661\pi\) | |||||||
\(18\) | −2.70711 | + | 1.29289i | −0.638071 | + | 0.304738i | ||||
\(19\) | 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 | ||||
\(22\) | 0.165727 | + | 0.0444063i | 0.0353330 | + | 0.00946746i | ||||
\(23\) | 0.776457 | + | 2.89778i | 0.161903 | + | 0.604228i | 0.998415 | + | 0.0562805i | \(0.0179241\pi\) |
−0.836512 | + | 0.547948i | \(0.815409\pi\) | |||||||
\(24\) | −0.599900 | − | 1.62484i | −0.122454 | − | 0.331670i | ||||
\(25\) | 0.598076 | + | 4.96410i | 0.119615 | + | 0.992820i | ||||
\(26\) | − | 2.82843i | − | 0.554700i | ||||||
\(27\) | 5.00000 | − | 1.41421i | 0.962250 | − | 0.272166i | ||||
\(28\) | −2.89778 | + | 0.776457i | −0.547628 | + | 0.146737i | ||||
\(29\) | −1.58579 | + | 2.74666i | −0.294473 | + | 0.510042i | −0.974862 | − | 0.222809i | \(-0.928477\pi\) |
0.680389 | + | 0.732851i | \(0.261811\pi\) | |||||||
\(30\) | 0.585786 | + | 3.82843i | 0.106949 | + | 0.698972i | ||||
\(31\) | 6.24264 | 1.12121 | 0.560606 | − | 0.828083i | \(-0.310568\pi\) | ||||
0.560606 | + | 0.828083i | \(0.310568\pi\) | |||||||
\(32\) | 0.965926 | − | 0.258819i | 0.170753 | − | 0.0457532i | ||||
\(33\) | −0.269907 | − | 0.124347i | −0.0469847 | − | 0.0216460i | ||||
\(34\) | 1.94218 | + | 1.12132i | 0.333082 | + | 0.192305i | ||||
\(35\) | 6.69615 | − | 0.401924i | 1.13186 | − | 0.0679375i | ||||
\(36\) | 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 | \(0.329313\pi\) | |||||||
\(38\) | 0.637756 | − | 4.31199i | 0.103458 | − | 0.699497i | ||||
\(39\) | −0.828427 | + | 4.82843i | −0.132655 | + | 0.773167i | ||||
\(40\) | −2.23205 | + | 0.133975i | −0.352918 | + | 0.0211832i | ||||
\(41\) | −2.59808 | + | 1.50000i | −0.405751 | + | 0.234261i | −0.688963 | − | 0.724797i | \(-0.741934\pi\) |
0.283211 | + | 0.959058i | \(0.408600\pi\) | |||||||
\(42\) | 5.17423 | − | 0.476756i | 0.798402 | − | 0.0735650i | ||||
\(43\) | 1.09808 | − | 4.09808i | 0.167455 | − | 0.624951i | −0.830259 | − | 0.557377i | \(-0.811808\pi\) |
0.997714 | − | 0.0675734i | \(-0.0215257\pi\) | |||||||
\(44\) | 0.0857864 | − | 0.148586i | 0.0129328 | − | 0.0224003i | ||||
\(45\) | 0.121320 | − | 6.70711i | 0.0180854 | − | 0.999836i | ||||
\(46\) | 3.00000 | 0.442326 | ||||||||
\(47\) | 6.26430 | − | 1.67851i | 0.913742 | − | 0.244836i | 0.228834 | − | 0.973466i | \(-0.426509\pi\) |
0.684909 | + | 0.728629i | \(0.259842\pi\) | |||||||
\(48\) | −1.72474 | + | 0.158919i | −0.248945 | + | 0.0229379i | ||||
\(49\) | − | 2.00000i | − | 0.285714i | ||||||
\(50\) | 4.94975 | + | 0.707107i | 0.700000 | + | 0.100000i | ||||
\(51\) | −2.98709 | − | 2.48307i | −0.418276 | − | 0.347699i | ||||
\(52\) | −2.73205 | − | 0.732051i | −0.378867 | − | 0.101517i | ||||
\(53\) | −2.45497 | − | 9.16208i | −0.337216 | − | 1.25851i | −0.901446 | − | 0.432891i | \(-0.857494\pi\) |
0.564230 | − | 0.825618i | \(-0.309173\pi\) | |||||||
\(54\) | −0.0719302 | − | 5.19565i | −0.00978846 | − | 0.707039i | ||||
\(55\) | −0.254539 | + | 0.287047i | −0.0343221 | + | 0.0387054i | ||||
\(56\) | 3.00000i | 0.400892i | ||||||||
\(57\) | −2.35167 | + | 7.17423i | −0.311486 | + | 0.950251i | ||||
\(58\) | 2.24264 | + | 2.24264i | 0.294473 | + | 0.294473i | ||||
\(59\) | 2.82843 | + | 4.89898i | 0.368230 | + | 0.637793i | 0.989289 | − | 0.145971i | \(-0.0466306\pi\) |
−0.621059 | + | 0.783764i | \(0.713297\pi\) | |||||||
\(60\) | 3.84959 | + | 0.425044i | 0.496980 | + | 0.0548729i | ||||
\(61\) | −1.12132 | + | 1.94218i | −0.143570 | + | 0.248671i | −0.928839 | − | 0.370484i | \(-0.879192\pi\) |
0.785268 | + | 0.619156i | \(0.212525\pi\) | |||||||
\(62\) | 1.61571 | − | 6.02993i | 0.205196 | − | 0.765802i | ||||
\(63\) | −8.97261 | − | 0.701625i | −1.13044 | − | 0.0883964i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 5.65685 | + | 2.82843i | 0.701646 | + | 0.350823i | ||||
\(66\) | −0.189967 | + | 0.228527i | −0.0233833 | + | 0.0281297i | ||||
\(67\) | −1.46410 | − | 5.46410i | −0.178868 | − | 0.667546i | −0.995860 | − | 0.0908970i | \(-0.971027\pi\) |
0.816992 | − | 0.576649i | \(-0.195640\pi\) | |||||||
\(68\) | 1.58579 | − | 1.58579i | 0.192305 | − | 0.192305i | ||||
\(69\) | −5.12132 | − | 0.878680i | −0.616535 | − | 0.105781i | ||||
\(70\) | 1.34486 | − | 6.57201i | 0.160742 | − | 0.785506i | ||||
\(71\) | −9.16756 | + | 5.29289i | −1.08799 | + | 0.628151i | −0.933040 | − | 0.359772i | \(-0.882855\pi\) |
−0.154949 | + | 0.987922i | \(0.549521\pi\) | |||||||
\(72\) | 2.99087 | + | 0.233875i | 0.352477 | + | 0.0275624i | ||||
\(73\) | 4.20390 | − | 15.6892i | 0.492030 | − | 1.83628i | −0.0540373 | − | 0.998539i | \(-0.517209\pi\) |
0.546067 | − | 0.837741i | \(-0.316124\pi\) | |||||||
\(74\) | 1.50000 | + | 2.59808i | 0.174371 | + | 0.302020i | ||||
\(75\) | −8.24264 | − | 2.65685i | −0.951778 | − | 0.306787i | ||||
\(76\) | −4.00000 | − | 1.73205i | −0.458831 | − | 0.198680i | ||||
\(77\) | 0.363961 | + | 0.363961i | 0.0414772 | + | 0.0414772i | ||||
\(78\) | 4.44949 | + | 2.04989i | 0.503806 | + | 0.232104i | ||||
\(79\) | −5.61642 | + | 3.24264i | −0.631896 | + | 0.364826i | −0.781486 | − | 0.623923i | \(-0.785538\pi\) |
0.149590 | + | 0.988748i | \(0.452205\pi\) | |||||||
\(80\) | −0.448288 | + | 2.19067i | −0.0501201 | + | 0.244924i | ||||
\(81\) | −1.39898 | + | 8.89060i | −0.155442 | + | 0.987845i | ||||
\(82\) | 0.776457 | + | 2.89778i | 0.0857453 | + | 0.320006i | ||||
\(83\) | 3.00000 | − | 3.00000i | 0.329293 | − | 0.329293i | −0.523025 | − | 0.852318i | \(-0.675196\pi\) |
0.852318 | + | 0.523025i | \(0.175196\pi\) | |||||||
\(84\) | 0.878680 | − | 5.12132i | 0.0958718 | − | 0.558782i | ||||
\(85\) | −4.18482 | + | 2.76305i | −0.453908 | + | 0.299695i | ||||
\(86\) | −3.67423 | − | 2.12132i | −0.396203 | − | 0.228748i | ||||
\(87\) | −3.17157 | − | 4.48528i | −0.340028 | − | 0.480873i | ||||
\(88\) | −0.121320 | − | 0.121320i | −0.0129328 | − | 0.0129328i | ||||
\(89\) | −5.91421 | + | 10.2437i | −0.626905 | + | 1.08583i | 0.361264 | + | 0.932464i | \(0.382345\pi\) |
−0.988169 | + | 0.153368i | \(0.950988\pi\) | |||||||
\(90\) | −6.44717 | − | 1.85311i | −0.679591 | − | 0.195335i | ||||
\(91\) | 4.24264 | − | 7.34847i | 0.444750 | − | 0.770329i | ||||
\(92\) | 0.776457 | − | 2.89778i | 0.0809513 | − | 0.302114i | ||||
\(93\) | −4.52432 | + | 9.82050i | −0.469150 | + | 1.01834i | ||||
\(94\) | − | 6.48528i | − | 0.668906i | ||||||
\(95\) | 7.98623 | + | 5.58750i | 0.819369 | + | 0.573266i | ||||
\(96\) | −0.292893 | + | 1.70711i | −0.0298933 | + | 0.174231i | ||||
\(97\) | −13.9917 | − | 3.74907i | −1.42064 | − | 0.380660i | −0.534931 | − | 0.844896i | \(-0.679662\pi\) |
−0.885712 | + | 0.464236i | \(0.846329\pi\) | |||||||
\(98\) | −1.93185 | − | 0.517638i | −0.195146 | − | 0.0522893i | ||||
\(99\) | 0.391227 | − | 0.334480i | 0.0393198 | − | 0.0336165i | ||||
\(100\) | 1.96410 | − | 4.59808i | 0.196410 | − | 0.459808i | ||||
\(101\) | −14.9941 | − | 8.65685i | −1.49197 | − | 0.861389i | −0.492012 | − | 0.870588i | \(-0.663738\pi\) |
−0.999958 | + | 0.00919913i | \(0.997072\pi\) | |||||||
\(102\) | −3.17157 | + | 2.24264i | −0.314033 | + | 0.222055i | ||||
\(103\) | −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 | ||||
\(105\) | −4.22072 | + | 10.8252i | −0.411900 | + | 1.05643i | ||||
\(106\) | −9.48528 | −0.921292 | ||||||||
\(107\) | −6.00000 | − | 6.00000i | −0.580042 | − | 0.580042i | 0.354873 | − | 0.934915i | \(-0.384524\pi\) |
−0.934915 | + | 0.354873i | \(0.884524\pi\) | |||||||
\(108\) | −5.03723 | − | 1.27526i | −0.484708 | − | 0.122711i | ||||
\(109\) | 1.94218 | − | 1.12132i | 0.186027 | − | 0.107403i | −0.404094 | − | 0.914717i | \(-0.632413\pi\) |
0.590122 | + | 0.807314i | \(0.299080\pi\) | |||||||
\(110\) | 0.211386 | + | 0.320159i | 0.0201549 | + | 0.0305260i | ||||
\(111\) | −1.79970 | − | 4.87453i | −0.170820 | − | 0.462670i | ||||
\(112\) | 2.89778 | + | 0.776457i | 0.273814 | + | 0.0733683i | ||||
\(113\) | −14.1421 | + | 14.1421i | −1.33038 | + | 1.33038i | −0.425352 | + | 0.905028i | \(0.639850\pi\) |
−0.905028 | + | 0.425352i | \(0.860150\pi\) | |||||||
\(114\) | 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 | ||||
\(117\) | −6.99536 | − | 4.80260i | −0.646721 | − | 0.444001i | ||||
\(118\) | 5.46410 | − | 1.46410i | 0.503011 | − | 0.134781i | ||||
\(119\) | 3.36396 | + | 5.82655i | 0.308374 | + | 0.534119i | ||||
\(120\) | 1.40691 | − | 3.60841i | 0.128433 | − | 0.329401i | ||||
\(121\) | 10.9706 | 0.997324 | ||||||||
\(122\) | 1.58579 | + | 1.58579i | 0.143570 | + | 0.143570i | ||||
\(123\) | −0.476756 | − | 5.17423i | −0.0429876 | − | 0.466545i | ||||
\(124\) | −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 | ||||
\(127\) | −0.687644 | − | 2.56632i | −0.0610186 | − | 0.227724i | 0.928682 | − | 0.370877i | \(-0.120943\pi\) |
−0.989701 | + | 0.143152i | \(0.954276\pi\) | |||||||
\(128\) | −0.965926 | − | 0.258819i | −0.0853766 | − | 0.0228766i | ||||
\(129\) | 5.65099 | + | 4.69748i | 0.497542 | + | 0.413590i | ||||
\(130\) | 4.19615 | − | 4.73205i | 0.368027 | − | 0.415028i | ||||
\(131\) | 12.9904 | − | 7.50000i | 1.13497 | − | 0.655278i | 0.189794 | − | 0.981824i | \(-0.439218\pi\) |
0.945181 | + | 0.326546i | \(0.105885\pi\) | |||||||
\(132\) | 0.171573 | + | 0.242641i | 0.0149335 | + | 0.0211192i | ||||
\(133\) | 8.12493 | − | 10.2462i | 0.704520 | − | 0.888462i | ||||
\(134\) | −5.65685 | −0.488678 | ||||||||
\(135\) | 10.4632 | + | 5.05179i | 0.900532 | + | 0.434789i | ||||
\(136\) | −1.12132 | − | 1.94218i | −0.0961524 | − | 0.166541i | ||||
\(137\) | 19.7873 | − | 5.30198i | 1.69054 | − | 0.452979i | 0.720011 | − | 0.693963i | \(-0.244137\pi\) |
0.970529 | + | 0.240984i | \(0.0774701\pi\) | |||||||
\(138\) | −2.17423 | + | 4.71940i | −0.185083 | + | 0.401742i | ||||
\(139\) | 12.1244 | + | 7.00000i | 1.02837 | + | 0.593732i | 0.916519 | − | 0.399992i | \(-0.130987\pi\) |
0.111856 | + | 0.993724i | \(0.464321\pi\) | |||||||
\(140\) | −6.00000 | − | 3.00000i | −0.507093 | − | 0.253546i | ||||
\(141\) | −1.89949 | + | 11.0711i | −0.159966 | + | 0.932352i | ||||
\(142\) | 2.73980 | + | 10.2251i | 0.229919 | + | 0.858070i | ||||
\(143\) | 0.125600 | + | 0.468746i | 0.0105032 | + | 0.0391985i | ||||
\(144\) | 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 | ||||
\(147\) | 3.14626 | + | 1.44949i | 0.259500 | + | 0.119552i | ||||
\(148\) | 2.89778 | − | 0.776457i | 0.238196 | − | 0.0638244i | ||||
\(149\) | −5.65685 | − | 9.79796i | −0.463428 | − | 0.802680i | 0.535701 | − | 0.844407i | \(-0.320047\pi\) |
−0.999129 | + | 0.0417274i | \(0.986714\pi\) | |||||||
\(150\) | −4.69968 | + | 7.27414i | −0.383727 | + | 0.593931i | ||||
\(151\) | −10.7279 | −0.873026 | −0.436513 | − | 0.899698i | \(-0.643787\pi\) | ||||
−0.436513 | + | 0.899698i | \(0.643787\pi\) | |||||||
\(152\) | −2.70831 | + | 3.41542i | −0.219673 | + | 0.277027i | ||||
\(153\) | 6.07107 | − | 2.89949i | 0.490817 | − | 0.234410i | ||||
\(154\) | 0.445759 | − | 0.257359i | 0.0359203 | − | 0.0207386i | ||||
\(155\) | 10.4441 | + | 9.26136i | 0.838894 | + | 0.743890i | ||||
\(156\) | 3.13165 | − | 3.76733i | 0.250733 | − | 0.301628i | ||||
\(157\) | −11.4254 | − | 3.06142i | −0.911845 | − | 0.244328i | −0.227749 | − | 0.973720i | \(-0.573136\pi\) |
−0.684096 | + | 0.729392i | \(0.739803\pi\) | |||||||
\(158\) | 1.67851 | + | 6.26430i | 0.133535 | + | 0.498361i | ||||
\(159\) | 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 | ||||
\(162\) | 8.22558 | + | 3.65237i | 0.646263 | + | 0.286957i | ||||
\(163\) | −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 | ||||||||
\(165\) | −0.267087 | − | 0.608460i | −0.0207927 | − | 0.0473685i | ||||
\(166\) | −2.12132 | − | 3.67423i | −0.164646 | − | 0.285176i | ||||
\(167\) | 22.6850 | − | 6.07844i | 1.75542 | − | 0.470364i | 0.769651 | − | 0.638464i | \(-0.220430\pi\) |
0.985770 | + | 0.168101i | \(0.0537634\pi\) | |||||||
\(168\) | −4.71940 | − | 2.17423i | −0.364109 | − | 0.167746i | ||||
\(169\) | −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 | ||||
\(173\) | −19.2901 | − | 5.16876i | −1.46660 | − | 0.392974i | −0.564835 | − | 0.825204i | \(-0.691060\pi\) |
−0.901763 | + | 0.432230i | \(0.857727\pi\) | |||||||
\(174\) | −5.15331 | + | 1.90263i | −0.390672 | + | 0.144238i | ||||
\(175\) | 11.7992 | + | 9.26174i | 0.891933 | + | 0.700122i | ||||
\(176\) | −0.148586 | + | 0.0857864i | −0.0112001 | + | 0.00646640i | ||||
\(177\) | −9.75663 | + | 0.898979i | −0.733353 | + | 0.0675714i | ||||
\(178\) | 8.36396 | + | 8.36396i | 0.626905 | + | 0.626905i | ||||
\(179\) | 9.34315 | 0.698340 | 0.349170 | − | 0.937059i | \(-0.386464\pi\) | ||||
0.349170 | + | 0.937059i | \(0.386464\pi\) | |||||||
\(180\) | −3.45862 | + | 5.74786i | −0.257790 | + | 0.428421i | ||||
\(181\) | −7.24264 | + | 12.5446i | −0.538341 | + | 0.932434i | 0.460652 | + | 0.887581i | \(0.347616\pi\) |
−0.998994 | + | 0.0448537i | \(0.985718\pi\) | |||||||
\(182\) | −6.00000 | − | 6.00000i | −0.444750 | − | 0.444750i | ||||
\(183\) | −2.24264 | − | 3.17157i | −0.165781 | − | 0.234449i | ||||
\(184\) | −2.59808 | − | 1.50000i | −0.191533 | − | 0.110581i | ||||
\(185\) | −6.69615 | + | 0.401924i | −0.492311 | + | 0.0295500i | ||||
\(186\) | 8.31489 | + | 6.91189i | 0.609678 | + | 0.506804i | ||||
\(187\) | −0.371665 | − | 0.0995874i | −0.0271789 | − | 0.00728255i | ||||
\(188\) | −6.26430 | − | 1.67851i | −0.456871 | − | 0.122418i | ||||
\(189\) | 7.60660 | − | 13.6066i | 0.553299 | − | 0.989735i | ||||
\(190\) | 7.46410 | − | 6.26795i | 0.541503 | − | 0.454725i | ||||
\(191\) | − | 10.5858i | − | 0.765961i | −0.923757 | − | 0.382980i | \(-0.874898\pi\) | ||
0.923757 | − | 0.382980i | \(-0.125102\pi\) | |||||||
\(192\) | 1.57313 | + | 0.724745i | 0.113531 | + | 0.0523040i | ||||
\(193\) | −3.10583 | + | 11.5911i | −0.223562 | + | 0.834346i | 0.759413 | + | 0.650609i | \(0.225486\pi\) |
−0.982975 | + | 0.183737i | \(0.941180\pi\) | |||||||
\(194\) | −7.24264 | + | 12.5446i | −0.519991 | + | 0.900651i | ||||
\(195\) | −8.54927 | + | 6.84909i | −0.612226 | + | 0.490474i | ||||
\(196\) | −1.00000 | + | 1.73205i | −0.0714286 | + | 0.123718i | ||||
\(197\) | −6.02082 | − | 6.02082i | −0.428965 | − | 0.428965i | 0.459310 | − | 0.888276i | \(-0.348097\pi\) |
−0.888276 | + | 0.459310i | \(0.848097\pi\) | |||||||
\(198\) | −0.221825 | − | 0.464466i | −0.0157644 | − | 0.0330082i | ||||
\(199\) | −12.3345 | − | 7.12132i | −0.874369 | − | 0.504817i | −0.00557117 | − | 0.999984i | \(-0.501773\pi\) |
−0.868798 | + | 0.495167i | \(0.835107\pi\) | |||||||
\(200\) | −3.93305 | − | 3.08725i | −0.278109 | − | 0.218301i | ||||
\(201\) | 9.65685 | + | 1.65685i | 0.681142 | + | 0.116865i | ||||
\(202\) | −12.2426 | + | 12.2426i | −0.861389 | + | 0.861389i | ||||
\(203\) | 2.46259 | + | 9.19051i | 0.172840 | + | 0.645048i | ||||
\(204\) | 1.34536 | + | 3.64394i | 0.0941941 | + | 0.255127i | ||||
\(205\) | −6.57201 | − | 1.34486i | −0.459009 | − | 0.0939293i | ||||
\(206\) | −2.59808 | + | 1.50000i | −0.181017 | + | 0.104510i | ||||
\(207\) | 5.09393 | − | 7.41970i | 0.354053 | − | 0.515704i | ||||
\(208\) | 2.00000 | + | 2.00000i | 0.138675 | + | 0.138675i | ||||
\(209\) | 0.0857864 | + | 0.742932i | 0.00593397 | + | 0.0513897i | ||||
\(210\) | 9.36396 | + | 6.87868i | 0.646175 | + | 0.474674i | ||||
\(211\) | −1.74264 | − | 3.01834i | −0.119968 | − | 0.207791i | 0.799787 | − | 0.600284i | \(-0.204946\pi\) |
−0.919755 | + | 0.392493i | \(0.871613\pi\) | |||||||
\(212\) | −2.45497 | + | 9.16208i | −0.168608 | + | 0.629254i | ||||
\(213\) | −1.68228 | − | 18.2578i | −0.115268 | − | 1.25100i | ||||
\(214\) | −7.34847 | + | 4.24264i | −0.502331 | + | 0.290021i | ||||
\(215\) | 7.91688 | − | 5.22715i | 0.539926 | − | 0.356489i | ||||
\(216\) | −2.53553 | + | 4.53553i | −0.172521 | + | 0.308604i | ||||
\(217\) | 13.2426 | − | 13.2426i | 0.898969 | − | 0.898969i | ||||
\(218\) | −0.580438 | − | 2.16622i | −0.0393122 | − | 0.146715i | ||||
\(219\) | 21.6344 | + | 17.9840i | 1.46192 | + | 1.21524i | ||||
\(220\) | 0.363961 | − | 0.121320i | 0.0245382 | − | 0.00817942i | ||||
\(221\) | 6.34315i | 0.426686i | ||||||||
\(222\) | −5.17423 | + | 0.476756i | −0.347272 | + | 0.0319978i | ||||
\(223\) | −4.52552 | + | 16.8895i | −0.303051 | + | 1.13100i | 0.631558 | + | 0.775328i | \(0.282416\pi\) |
−0.934610 | + | 0.355675i | \(0.884251\pi\) | |||||||
\(224\) | 1.50000 | − | 2.59808i | 0.100223 | − | 0.173591i | ||||
\(225\) | 10.1534 | − | 11.0412i | 0.676893 | − | 0.736081i | ||||
\(226\) | 10.0000 | + | 17.3205i | 0.665190 | + | 1.15214i | ||||
\(227\) | −16.2426 | − | 16.2426i | −1.07806 | − | 1.07806i | −0.996683 | − | 0.0813787i | \(-0.974068\pi\) |
−0.0813787 | − | 0.996683i | \(-0.525932\pi\) | |||||||
\(228\) | 5.62372 | − | 5.03723i | 0.372440 | − | 0.333599i | ||||
\(229\) | 15.7574i | 1.04128i | 0.853778 | + | 0.520638i | \(0.174306\pi\) | ||||
−0.853778 | + | 0.520638i | \(0.825694\pi\) | |||||||
\(230\) | 5.01910 | + | 4.45069i | 0.330950 | + | 0.293470i | ||||
\(231\) | −0.836338 | + | 0.308780i | −0.0550270 | + | 0.0203162i | ||||
\(232\) | −0.820863 | − | 3.06350i | −0.0538923 | − | 0.201129i | ||||
\(233\) | 10.1280 | + | 2.71379i | 0.663508 | + | 0.177786i | 0.574828 | − | 0.818274i | \(-0.305069\pi\) |
0.0886791 | + | 0.996060i | \(0.471735\pi\) | |||||||
\(234\) | −6.44949 | + | 5.51399i | −0.421616 | + | 0.360461i | ||||
\(235\) | 12.9706 | + | 6.48528i | 0.846106 | + | 0.423053i | ||||
\(236\) | − | 5.65685i | − | 0.368230i | ||||||
\(237\) | −1.03063 | − | 11.1855i | −0.0669467 | − | 0.726573i | ||||
\(238\) | 6.49867 | − | 1.74131i | 0.421246 | − | 0.112873i | ||||
\(239\) | 0.686292 | 0.0443925 | 0.0221963 | − | 0.999754i | \(-0.492934\pi\) | ||||
0.0221963 | + | 0.999754i | \(0.492934\pi\) | |||||||
\(240\) | −3.12132 | − | 2.29289i | −0.201480 | − | 0.148006i | ||||
\(241\) | 0.242641 | − | 0.420266i | 0.0156299 | − | 0.0270717i | −0.858105 | − | 0.513475i | \(-0.828358\pi\) |
0.873735 | + | 0.486403i | \(0.161691\pi\) | |||||||
\(242\) | 2.83939 | − | 10.5967i | 0.182523 | − | 0.681185i | ||||
\(243\) | −12.9722 | − | 8.64420i | −0.832167 | − | 0.554526i | ||||
\(244\) | 1.94218 | − | 1.12132i | 0.124336 | − | 0.0717852i | ||||
\(245\) | 2.96713 | − | 3.34607i | 0.189563 | − | 0.213772i | ||||
\(246\) | −5.12132 | − | 0.878680i | −0.326523 | − | 0.0560226i | ||||
\(247\) | 11.4641 | − | 4.53590i | 0.729443 | − | 0.288612i | ||||
\(248\) | −4.41421 | + | 4.41421i | −0.280303 | + | 0.280303i | ||||
\(249\) | 2.54516 | + | 6.89363i | 0.161293 | + | 0.436866i | ||||
\(250\) | 7.23205 | + | 8.52628i | 0.457395 | + | 0.539249i | ||||
\(251\) | −14.9941 | − | 8.65685i | −0.946420 | − | 0.546416i | −0.0544529 | − | 0.998516i | \(-0.517341\pi\) |
−0.891967 | + | 0.452101i | \(0.850675\pi\) | |||||||
\(252\) | 7.41970 | + | 5.09393i | 0.467397 | + | 0.320887i | ||||
\(253\) | −0.497180 | + | 0.133219i | −0.0312574 | + | 0.00837541i | ||||
\(254\) | −2.65685 | −0.166706 | ||||||||
\(255\) | −1.31371 | − | 8.58579i | −0.0822676 | − | 0.537663i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 7.96178 | − | 2.13335i | 0.496642 | − | 0.133075i | −0.00179903 | − | 0.999998i | \(-0.500573\pi\) |
0.498441 | + | 0.866924i | \(0.333906\pi\) | |||||||
\(258\) | 6.00000 | − | 4.24264i | 0.373544 | − | 0.264135i | ||||
\(259\) | 9.00000i | 0.559233i | ||||||||
\(260\) | −3.48477 | − | 5.27792i | −0.216116 | − | 0.327323i | ||||
\(261\) | 9.35452 | − | 1.73862i | 0.579030 | − | 0.107618i | ||||
\(262\) | −3.88229 | − | 14.4889i | −0.239848 | − | 0.895126i | ||||
\(263\) | −1.43467 | − | 0.384419i | −0.0884656 | − | 0.0237043i | 0.214315 | − | 0.976765i | \(-0.431248\pi\) |
−0.302780 | + | 0.953060i | \(0.597915\pi\) | |||||||
\(264\) | 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 | ||||
\(267\) | −11.8284 | − | 16.7279i | −0.723888 | − | 1.02373i | ||||
\(268\) | −1.46410 | + | 5.46410i | −0.0894342 | + | 0.333773i | ||||
\(269\) | −5.46447 | − | 9.46473i | −0.333174 | − | 0.577075i | 0.649958 | − | 0.759970i | \(-0.274786\pi\) |
−0.983132 | + | 0.182895i | \(0.941453\pi\) | |||||||
\(270\) | 7.58774 | − | 8.79921i | 0.461775 | − | 0.535503i | ||||
\(271\) | 1.00000 | + | 1.73205i | 0.0607457 | + | 0.105215i | 0.894799 | − | 0.446469i | \(-0.147319\pi\) |
−0.834053 | + | 0.551684i | \(0.813985\pi\) | |||||||
\(272\) | −2.16622 | + | 0.580438i | −0.131347 | + | 0.0351942i | ||||
\(273\) | 8.48528 | + | 12.0000i | 0.513553 | + | 0.726273i | ||||
\(274\) | − | 20.4853i | − | 1.23756i | ||||||
\(275\) | −0.851705 | + | 0.102614i | −0.0513598 | + | 0.00618784i | ||||
\(276\) | 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 | ||||
\(280\) | −4.45069 | + | 5.01910i | −0.265980 | + | 0.299948i | ||||
\(281\) | 5.34474 | + | 3.08579i | 0.318840 | + | 0.184083i | 0.650876 | − | 0.759184i | \(-0.274402\pi\) |
−0.332035 | + | 0.943267i | \(0.607735\pi\) | |||||||
\(282\) | 10.2022 | + | 4.70017i | 0.607532 | + | 0.279891i | ||||
\(283\) | −3.01702 | + | 11.2597i | −0.179343 | + | 0.669317i | 0.816428 | + | 0.577447i | \(0.195951\pi\) |
−0.995771 | + | 0.0918699i | \(0.970716\pi\) | |||||||
\(284\) | 10.5858 | 0.628151 | ||||||||
\(285\) | −14.5779 | + | 8.51387i | −0.863518 | + | 0.504318i | ||||
\(286\) | 0.485281 | 0.0286953 | ||||||||
\(287\) | −2.32937 | + | 8.69333i | −0.137498 | + | 0.513151i | ||||
\(288\) | −2.47323 | − | 1.69798i | −0.145737 | − | 0.100054i | ||||
\(289\) | 10.3668 | + | 5.98528i | 0.609812 | + | 0.352075i | ||||
\(290\) | 0.424910 | + | 7.07911i | 0.0249516 | + | 0.415700i | ||||
\(291\) | 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 | \(0.524120\pi\) |
−0.997130 | + | 0.0757037i | \(0.975880\pi\) | |||||||
\(294\) | 2.21441 | − | 2.66390i | 0.129147 | − | 0.155362i | ||||
\(295\) | −2.53590 | + | 12.3923i | −0.147646 | + | 0.721508i | ||||
\(296\) | − | 3.00000i | − | 0.174371i | ||||||
\(297\) | 0.242641 | + | 0.857864i | 0.0140794 | + | 0.0497783i | ||||
\(298\) | −10.9282 | + | 2.92820i | −0.633054 | + | 0.169626i | ||||
\(299\) | 4.24264 | + | 7.34847i | 0.245358 | + | 0.424973i | ||||
\(300\) | 5.80991 | + | 6.42222i | 0.335435 | + | 0.370787i | ||||
\(301\) | −6.36396 | − | 11.0227i | −0.366813 | − | 0.635338i | ||||
\(302\) | −2.77659 | + | 10.3624i | −0.159775 | + | 0.596288i | ||||
\(303\) | 24.4853 | − | 17.3137i | 1.40664 | − | 0.994647i | ||||
\(304\) | 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 | ||||
\(307\) | 19.4558 | + | 5.21317i | 1.11040 | + | 0.297531i | 0.766993 | − | 0.641655i | \(-0.221752\pi\) |
0.343408 | + | 0.939186i | \(0.388419\pi\) | |||||||
\(308\) | −0.133219 | − | 0.497180i | −0.00759086 | − | 0.0283295i | ||||
\(309\) | 4.87453 | − | 1.79970i | 0.277303 | − | 0.102381i | ||||
\(310\) | 11.6489 | − | 7.69125i | 0.661615 | − | 0.436834i | ||||
\(311\) | − | 8.48528i | − | 0.481156i | −0.970630 | − | 0.240578i | \(-0.922663\pi\) | ||
0.970630 | − | 0.240578i | \(-0.0773370\pi\) | |||||||
\(312\) | −2.82843 | − | 4.00000i | −0.160128 | − | 0.226455i | ||||
\(313\) | −20.8218 | + | 5.57919i | −1.17692 | + | 0.315355i | −0.793704 | − | 0.608304i | \(-0.791850\pi\) |
−0.383216 | + | 0.923659i | \(0.625183\pi\) | |||||||
\(314\) | −5.91421 | + | 10.2437i | −0.333758 | + | 0.578086i | ||||
\(315\) | −13.9706 | − | 14.4853i | −0.787152 | − | 0.816153i | ||||
\(316\) | 6.48528 | 0.364826 | ||||||||
\(317\) | 27.4862 | − | 7.36491i | 1.54378 | − | 0.413655i | 0.616296 | − | 0.787515i | \(-0.288633\pi\) |
0.927485 | + | 0.373860i | \(0.121966\pi\) | |||||||
\(318\) | 6.87441 | − | 14.9216i | 0.385498 | − | 0.836762i | ||||
\(319\) | −0.471253 | − | 0.272078i | −0.0263851 | − | 0.0152334i | ||||
\(320\) | 1.48356 | − | 1.67303i | 0.0829337 | − | 0.0935254i | ||||
\(321\) | 13.7873 | − | 5.09032i | 0.769530 | − | 0.284114i | ||||
\(322\) | 6.36396 | − | 6.36396i | 0.354650 | − | 0.354650i | ||||
\(323\) | −1.43026 | + | 9.67025i | −0.0795817 | + | 0.538067i | ||||
\(324\) | 5.65685 | − | 7.00000i | 0.314270 | − | 0.388889i | ||||
\(325\) | 5.26795 | + | 13.1244i | 0.292213 | + | 0.728008i | ||||
\(326\) | −17.4436 | + | 10.0711i | −0.966112 | + | 0.557785i | ||||
\(327\) | 0.356397 | + | 3.86798i | 0.0197088 | + | 0.213900i | ||||
\(328\) | 0.776457 | − | 2.89778i | 0.0428727 | − | 0.160003i | ||||
\(329\) | 9.72792 | − | 16.8493i | 0.536318 | − | 0.928930i | ||||
\(330\) | −0.656854 | + | 0.100505i | −0.0361586 | + | 0.00553262i | ||||
\(331\) | −12.5147 | −0.687871 | −0.343936 | − | 0.938993i | \(-0.611760\pi\) | ||||
−0.343936 | + | 0.938993i | \(0.611760\pi\) | |||||||
\(332\) | −4.09808 | + | 1.09808i | −0.224911 | + | 0.0602648i | ||||
\(333\) | 8.97261 | + | 0.701625i | 0.491696 | + | 0.0384488i | ||||
\(334\) | − | 23.4853i | − | 1.28506i | ||||||
\(335\) | 5.65685 | − | 11.3137i | 0.309067 | − | 0.618134i | ||||
\(336\) | −3.32162 | + | 3.99585i | −0.181209 | + | 0.217992i | ||||
\(337\) | −2.40060 | − | 0.643238i | −0.130769 | − | 0.0350394i | 0.192841 | − | 0.981230i | \(-0.438230\pi\) |
−0.323610 | + | 0.946191i | \(0.604897\pi\) | |||||||
\(338\) | 1.29410 | + | 4.82963i | 0.0703895 | + | 0.262697i | ||||
\(339\) | −11.9980 | − | 32.4969i | −0.651642 | − | 1.76499i | ||||
\(340\) | 5.00569 | − | 0.300457i | 0.271472 | − | 0.0162946i | ||||
\(341\) | 1.07107i | 0.0580016i | ||||||||
\(342\) | −11.0757 | + | 6.95195i | −0.598904 | + | 0.375918i | ||||
\(343\) | 10.6066 | + | 10.6066i | 0.572703 | + | 0.572703i | ||||
\(344\) | 2.12132 | + | 3.67423i | 0.114374 | + | 0.198101i | ||||
\(345\) | −7.26456 | − | 9.06787i | −0.391111 | − | 0.488197i | ||||
\(346\) | −9.98528 | + | 17.2950i | −0.536812 | + | 0.929786i | ||||
\(347\) | −2.83939 | + | 10.5967i | −0.152426 | + | 0.568863i | 0.846886 | + | 0.531775i | \(0.178475\pi\) |
−0.999312 | + | 0.0370881i | \(0.988192\pi\) | |||||||
\(348\) | 0.504022 | + | 5.47015i | 0.0270184 | + | 0.293231i | ||||
\(349\) | 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 | ||||
\(352\) | 0.0444063 | + | 0.165727i | 0.00236687 | + | 0.00883326i | ||||
\(353\) | 3.51472 | − | 3.51472i | 0.187070 | − | 0.187070i | −0.607358 | − | 0.794428i | \(-0.707771\pi\) |
0.794428 | + | 0.607358i | \(0.207771\pi\) | |||||||
\(354\) | −1.65685 | + | 9.65685i | −0.0880608 | + | 0.513256i | ||||
\(355\) | −23.1900 | − | 4.74548i | −1.23080 | − | 0.251864i | ||||
\(356\) | 10.2437 | − | 5.91421i | 0.542916 | − | 0.313453i | ||||
\(357\) | −11.6039 | + | 1.06919i | −0.614146 | + | 0.0565876i | ||||
\(358\) | 2.41818 | − | 9.02479i | 0.127805 | − | 0.476975i | ||||
\(359\) | 4.60660 | + | 7.97887i | 0.243127 | + | 0.421109i | 0.961603 | − | 0.274443i | \(-0.0884934\pi\) |
−0.718476 | + | 0.695551i | \(0.755160\pi\) | |||||||
\(360\) | 4.65685 | + | 4.82843i | 0.245438 | + | 0.254480i | ||||
\(361\) | 18.5000 | − | 4.33013i | 0.973684 | − | 0.227901i | ||||
\(362\) | 10.2426 | + | 10.2426i | 0.538341 | + | 0.538341i | ||||
\(363\) | −7.95086 | + | 17.2581i | −0.417312 | + | 0.905818i | ||||
\(364\) | −7.34847 | + | 4.24264i | −0.385164 | + | 0.222375i | ||||
\(365\) | 30.3092 | − | 20.0118i | 1.58645 | − | 1.04746i | ||||
\(366\) | −3.64394 | + | 1.34536i | −0.190472 | + | 0.0703232i | ||||
\(367\) | 1.55291 | + | 5.79555i | 0.0810615 | + | 0.302526i | 0.994539 | − | 0.104363i | \(-0.0332804\pi\) |
−0.913478 | + | 0.406889i | \(0.866614\pi\) | |||||||
\(368\) | −2.12132 | + | 2.12132i | −0.110581 | + | 0.110581i | ||||
\(369\) | 8.48528 | + | 3.00000i | 0.441726 | + | 0.156174i | ||||
\(370\) | −1.34486 | + | 6.57201i | −0.0699161 | + | 0.341663i | ||||
\(371\) | −24.6435 | − | 14.2279i | −1.27943 | − | 0.738677i | ||||
\(372\) | 8.82843 | − | 6.24264i | 0.457733 | − | 0.323666i | ||||
\(373\) | 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 | ||||
\(375\) | −9.84859 | − | 16.6735i | −0.508579 | − | 0.861015i | ||||
\(376\) | −3.24264 | + | 5.61642i | −0.167226 | + | 0.289645i | ||||
\(377\) | −2.32175 | + | 8.66490i | −0.119576 | + | 0.446265i | ||||
\(378\) | −11.1742 | − | 10.8691i | −0.574741 | − | 0.559044i | ||||
\(379\) | − | 22.4853i | − | 1.15499i | −0.816394 | − | 0.577496i | \(-0.804030\pi\) | ||
0.816394 | − | 0.577496i | \(-0.195970\pi\) | |||||||
\(380\) | −4.12252 | − | 8.83203i | −0.211481 | − | 0.453074i | ||||
\(381\) | 4.53553 | + | 0.778175i | 0.232362 | + | 0.0398671i | ||||
\(382\) | −10.2251 | − | 2.73980i | −0.523161 | − | 0.140181i | ||||
\(383\) | 29.4465 | + | 7.89017i | 1.50465 | + | 0.403169i | 0.914653 | − | 0.404239i | \(-0.132464\pi\) |
0.589994 | + | 0.807408i | \(0.299130\pi\) | |||||||
\(384\) | 1.10721 | − | 1.33195i | 0.0565019 | − | 0.0679709i | ||||
\(385\) | 0.0689592 | + | 1.14888i | 0.00351449 | + | 0.0585523i | ||||
\(386\) | 10.3923 | + | 6.00000i | 0.528954 | + | 0.305392i | ||||
\(387\) | −11.4853 | + | 5.48528i | −0.583830 | + | 0.278833i | ||||
\(388\) | 10.2426 | + | 10.2426i | 0.519991 | + | 0.519991i | ||||
\(389\) | 2.46447 | − | 4.26858i | 0.124953 | − | 0.216426i | −0.796761 | − | 0.604294i | \(-0.793455\pi\) |
0.921715 | + | 0.387868i | \(0.126789\pi\) | |||||||
\(390\) | 4.40300 | + | 10.0306i | 0.222955 | + | 0.507921i | ||||
\(391\) | −6.72792 | −0.340246 | ||||||||
\(392\) | 1.41421 | + | 1.41421i | 0.0714286 | + | 0.0714286i | ||||
\(393\) | 2.38378 | + | 25.8712i | 0.120246 | + | 1.30503i | ||||
\(394\) | −7.37396 | + | 4.25736i | −0.371495 | + | 0.214483i | ||||
\(395\) | −14.2071 | − | 2.90727i | −0.714838 | − | 0.146281i | ||||
\(396\) | −0.506052 | + | 0.0940542i | −0.0254301 | + | 0.00472640i | ||||
\(397\) | 7.69897 | + | 2.06293i | 0.386400 | + | 0.103536i | 0.446789 | − | 0.894639i | \(-0.352567\pi\) |
−0.0603888 | + | 0.998175i | \(0.519234\pi\) | |||||||
\(398\) | −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 | −0.999996 | − | 0.00283317i | \(-0.999098\pi\) |
−0.497544 | + | 0.867439i | \(0.665765\pi\) | |||||||
\(402\) | 4.09978 | − | 8.89898i | 0.204478 | − | 0.443841i | ||||
\(403\) | 17.0552 | − | 4.56993i | 0.849581 | − | 0.227644i | ||||
\(404\) | 8.65685 | + | 14.9941i | 0.430695 | + | 0.745985i | ||||
\(405\) | −15.5303 | + | 12.7988i | −0.771708 | + | 0.635977i | ||||
\(406\) | 9.51472 | 0.472208 | ||||||||
\(407\) | −0.363961 | − | 0.363961i | −0.0180409 | − | 0.0180409i | ||||
\(408\) | 3.86798 | − | 0.356397i | 0.191494 | − | 0.0176443i | ||||
\(409\) | 21.1794 | + | 12.2279i | 1.04725 | + | 0.604632i | 0.921879 | − | 0.387478i | \(-0.126654\pi\) |
0.125374 | + | 0.992110i | \(0.459987\pi\) | |||||||
\(410\) | −3.00000 | + | 6.00000i | −0.148159 | + | 0.296319i | ||||
\(411\) | −6.00000 | + | 34.9706i | −0.295958 | + | 1.72497i | ||||
\(412\) | 0.776457 | + | 2.89778i | 0.0382533 | + | 0.142763i | ||||
\(413\) | 16.3923 | + | 4.39230i | 0.806613 | + | 0.216131i | ||||
\(414\) | −5.84847 | − | 6.84072i | −0.287437 | − | 0.336203i | ||||
\(415\) | 9.46979 | − | 0.568406i | 0.464854 | − | 0.0279020i | ||||
\(416\) | 2.44949 | − | 1.41421i | 0.120096 | − | 0.0693375i | ||||
\(417\) | −19.7990 | + | 14.0000i | −0.969561 | + | 0.685583i | ||||
\(418\) | 0.739821 | + | 0.109422i | 0.0361858 | + | 0.00535199i | ||||
\(419\) | −29.8284 | −1.45721 | −0.728607 | − | 0.684932i | \(-0.759832\pi\) | ||||
−0.728607 | + | 0.684932i | \(0.759832\pi\) | |||||||
\(420\) | 9.06787 | − | 7.26456i | 0.442467 | − | 0.354474i | ||||
\(421\) | 10.4853 | + | 18.1610i | 0.511021 | + | 0.885115i | 0.999918 | + | 0.0127735i | \(0.00406603\pi\) |
−0.488897 | + | 0.872341i | \(0.662601\pi\) | |||||||
\(422\) | −3.36652 | + | 0.902057i | −0.163880 | + | 0.0439115i | ||||
\(423\) | −16.0396 | − | 11.0119i | −0.779872 | − | 0.535415i | ||||
\(424\) | 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 | ||||
\(427\) | 1.74131 | + | 6.49867i | 0.0842681 | + | 0.314493i | ||||
\(428\) | 2.19615 | + | 8.19615i | 0.106155 | + | 0.396176i | ||||
\(429\) | −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 | 0.717056 | − | 0.697015i | \(-0.245489\pi\) |
−0.245105 | + | 0.969497i | \(0.578822\pi\) | |||||||
\(432\) | 3.72474 | + | 3.62302i | 0.179207 | + | 0.174313i | ||||
\(433\) | −9.19051 | + | 2.46259i | −0.441668 | + | 0.118345i | −0.472798 | − | 0.881171i | \(-0.656756\pi\) |
0.0311302 | + | 0.999515i | \(0.490089\pi\) | |||||||
\(434\) | −9.36396 | − | 16.2189i | −0.449485 | − | 0.778530i | ||||
\(435\) | 1.34806 | − | 12.2093i | 0.0646344 | − | 0.585389i | ||||
\(436\) | −2.24264 | −0.107403 | ||||||||
\(437\) | 4.81105 | + | 12.1595i | 0.230144 | + | 0.581669i | ||||
\(438\) | 22.9706 | − | 16.2426i | 1.09758 | − | 0.776103i | ||||
\(439\) | −25.5095 | + | 14.7279i | −1.21750 | + | 0.702925i | −0.964383 | − | 0.264510i | \(-0.914790\pi\) |
−0.253119 | + | 0.967435i | \(0.581457\pi\) | |||||||
\(440\) | −0.0229864 | − | 0.382959i | −0.00109583 | − | 0.0182569i | ||||
\(441\) | −4.56048 | + | 3.89898i | −0.217166 | + | 0.185666i | ||||
\(442\) | 6.12701 | + | 1.64173i | 0.291432 | + | 0.0780890i | ||||
\(443\) | 8.86265 | + | 33.0759i | 0.421077 | + | 1.57148i | 0.772343 | + | 0.635205i | \(0.219085\pi\) |
−0.351266 | + | 0.936276i | \(0.614249\pi\) | |||||||
\(444\) | −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 | ||||
\(447\) | 19.5133 | − | 1.79796i | 0.922946 | − | 0.0850405i | ||||
\(448\) | −2.12132 | − | 2.12132i | −0.100223 | − | 0.100223i | ||||
\(449\) | −17.8284 | −0.841375 | −0.420688 | − | 0.907205i | \(-0.638211\pi\) | ||||
−0.420688 | + | 0.907205i | \(0.638211\pi\) | |||||||
\(450\) | −8.03711 | − | 12.6651i | −0.378873 | − | 0.597039i | ||||
\(451\) | −0.257359 | − | 0.445759i | −0.0121186 | − | 0.0209900i | ||||
\(452\) | 19.3185 | − | 5.17638i | 0.908667 | − | 0.243476i | ||||
\(453\) | 7.77501 | − | 16.8764i | 0.365302 | − | 0.792924i | ||||
\(454\) | −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 | \(0.940638\pi\) | |||||||
\(458\) | 15.2204 | + | 4.07830i | 0.711204 | + | 0.190567i | ||||
\(459\) | 0.161314 | + | 11.6520i | 0.00752947 | + | 0.543868i | ||||
\(460\) | 5.59808 | − | 3.69615i | 0.261012 | − | 0.172334i | ||||
\(461\) | 21.7482 | − | 12.5563i | 1.01292 | − | 0.584807i | 0.100872 | − | 0.994899i | \(-0.467837\pi\) |
0.912044 | + | 0.410092i | \(0.134503\pi\) | |||||||
\(462\) | 0.0817984 | + | 0.887758i | 0.00380560 | + | 0.0413023i | ||||
\(463\) | −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 | ||||||||
\(465\) | −22.1387 | + | 9.71789i | −1.02666 | + | 0.450657i | ||||
\(466\) | 5.24264 | − | 9.08052i | 0.242861 | − | 0.420647i | ||||
\(467\) | 1.75736 | + | 1.75736i | 0.0813209 | + | 0.0813209i | 0.746597 | − | 0.665276i | \(-0.231686\pi\) |
−0.665276 | + | 0.746597i | \(0.731686\pi\) | |||||||
\(468\) | 3.65685 | + | 7.65685i | 0.169038 | + | 0.353938i | ||||
\(469\) | −14.6969 | − | 8.48528i | −0.678642 | − | 0.391814i | ||||
\(470\) | 9.62133 | − | 10.8501i | 0.443799 | − | 0.500477i | ||||
\(471\) | 13.0965 | − | 15.7549i | 0.603455 | − | 0.725947i | ||||
\(472\) | −5.46410 | − | 1.46410i | −0.251506 | − | 0.0673907i | ||||
\(473\) | 0.703119 | + | 0.188400i | 0.0323294 | + | 0.00866265i | ||||
\(474\) | −11.0711 | − | 1.89949i | −0.508511 | − | 0.0872467i | ||||
\(475\) | 5.07180 | + | 21.1962i | 0.232710 | + | 0.972546i | ||||
\(476\) | − | 6.72792i | − | 0.308374i | ||||||
\(477\) | −16.1058 | + | 23.4593i | −0.737433 | + | 1.07413i | ||||
\(478\) | 0.177625 | − | 0.662907i | 0.00812439 | − | 0.0303206i | ||||
\(479\) | −15.1924 | + | 26.3140i | −0.694158 | + | 1.20232i | 0.276306 | + | 0.961070i | \(0.410890\pi\) |
−0.970464 | + | 0.241247i | \(0.922444\pi\) | |||||||
\(480\) | −3.02262 | + | 2.42152i | −0.137963 | + | 0.110527i | ||||
\(481\) | −4.24264 | + | 7.34847i | −0.193448 | + | 0.335061i | ||||
\(482\) | −0.343146 | − | 0.343146i | −0.0156299 | − | 0.0156299i | ||||
\(483\) | −12.7279 | + | 9.00000i | −0.579141 | + | 0.409514i | ||||
\(484\) | −9.50079 | − | 5.48528i | −0.431854 | − | 0.249331i | ||||
\(485\) | −17.8466 | − | 27.0299i | −0.810372 | − | 1.22736i | ||||
\(486\) | −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 | \(-0.0391142\pi\) | |||||||
\(488\) | −0.580438 | − | 2.16622i | −0.0262752 | − | 0.0980604i | ||||
\(489\) | 32.7278 | − | 12.0833i | 1.48000 | − | 0.546425i | ||||
\(490\) | −2.46410 | − | 3.73205i | −0.111317 | − | 0.168597i | ||||
\(491\) | 5.93908 | − | 3.42893i | 0.268027 | − | 0.154746i | −0.359964 | − | 0.932966i | \(-0.617211\pi\) |
0.627991 | + | 0.778221i | \(0.283878\pi\) | |||||||
\(492\) | −2.17423 | + | 4.71940i | −0.0980221 | + | 0.212767i | ||||
\(493\) | −5.02944 | − | 5.02944i | −0.226514 | − | 0.226514i | ||||
\(494\) | −1.41421 | − | 12.2474i | −0.0636285 | − | 0.551039i | ||||
\(495\) | 1.15076 | + | 0.0208153i | 0.0517227 | + | 0.000935577i | ||||
\(496\) | 3.12132 | + | 5.40629i | 0.140151 | + | 0.242749i | ||||
\(497\) | −8.21941 | + | 30.6753i | −0.368691 | + | 1.37597i | ||||
\(498\) | 7.31747 | − | 0.674235i | 0.327904 | − | 0.0302132i | ||||
\(499\) | −32.8835 | + | 18.9853i | −1.47207 | + | 0.849898i | −0.999507 | − | 0.0314008i | \(-0.990003\pi\) |
−0.472560 | + | 0.881299i | \(0.656670\pi\) | |||||||
\(500\) | 10.1075 | − | 4.77886i | 0.452023 | − | 0.213717i | ||||
\(501\) | −6.87868 | + | 40.0919i | −0.307317 | + | 1.79117i | ||||
\(502\) | −12.2426 | + | 12.2426i | −0.546416 | + | 0.546416i | ||||
\(503\) | −4.65112 | − | 17.3582i | −0.207383 | − | 0.773965i | −0.988710 | − | 0.149843i | \(-0.952123\pi\) |
0.781326 | − | 0.624123i | \(-0.214543\pi\) | |||||||
\(504\) | 6.84072 | − | 5.84847i | 0.304710 | − | 0.260512i | ||||
\(505\) | −12.2426 | − | 36.7279i | −0.544790 | − | 1.63437i | ||||
\(506\) | 0.514719i | 0.0228820i | ||||||||
\(507\) | −0.794593 | − | 8.62372i | −0.0352891 | − | 0.382993i | ||||
\(508\) | −0.687644 | + | 2.56632i | −0.0305093 | + | 0.113862i | ||||
\(509\) | 6.36396 | − | 11.0227i | 0.282078 | − | 0.488573i | −0.689819 | − | 0.723982i | \(-0.742310\pi\) |
0.971896 | + | 0.235409i | \(0.0756431\pi\) | |||||||
\(510\) | −8.63325 | − | 0.953220i | −0.382287 | − | 0.0422093i | ||||
\(511\) | −24.3640 | − | 42.1996i | −1.07780 | − | 1.86680i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 20.9435 | − | 8.62372i | 0.924679 | − | 0.380747i | ||||
\(514\) | − | 8.24264i | − | 0.363567i | ||||||
\(515\) | −0.401924 | − | 6.69615i | −0.0177109 | − | 0.295068i | ||||
\(516\) | −2.54516 | − | 6.89363i | −0.112045 | − | 0.303475i | ||||
\(517\) | 0.287988 | + | 1.07478i | 0.0126657 | + | 0.0472690i | ||||
\(518\) | 8.69333 | + | 2.32937i | 0.381963 | + | 0.102347i | ||||
\(519\) | 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 | \(-0.718474\pi\) | ||
0.633722 | − | 0.773561i | \(-0.281526\pi\) | |||||||
\(522\) | 0.741752 | − | 9.48576i | 0.0324656 | − | 0.415181i | ||||
\(523\) | 22.8508 | − | 6.12284i | 0.999194 | − | 0.267733i | 0.278086 | − | 0.960556i | \(-0.410300\pi\) |
0.721108 | + | 0.692823i | \(0.243633\pi\) | |||||||
\(524\) | −15.0000 | −0.655278 | ||||||||
\(525\) | −23.1213 | + | 11.8492i | −1.00910 | + | 0.517143i | ||||
\(526\) | −0.742641 | + | 1.28629i | −0.0323807 | + | 0.0560850i | ||||
\(527\) | −3.62347 | + | 13.5230i | −0.157841 | + | 0.589069i | ||||
\(528\) | −0.0272661 | − | 0.295919i | −0.00118661 | − | 0.0128782i | ||||
\(529\) | 12.1244 | − | 7.00000i | 0.527146 | − | 0.304348i | ||||
\(530\) | −15.8692 | − | 14.0720i | −0.689313 | − | 0.611250i | ||||
\(531\) | 5.65685 | − | 16.0000i | 0.245487 | − | 0.694341i | ||||
\(532\) | −12.1595 | + | 4.81105i | −0.527182 | + | 0.208585i | ||||
\(533\) | −6.00000 | + | 6.00000i | −0.259889 | + | 0.259889i | ||||
\(534\) | −19.2194 | + | 7.09588i | −0.831703 | + | 0.307069i | ||||
\(535\) | −1.13681 | − | 18.9396i | −0.0491487 | − | 0.818829i | ||||
\(536\) | 4.89898 | + | 2.82843i | 0.211604 | + | 0.122169i | ||||
\(537\) | −6.77140 | + | 14.6980i | −0.292207 | + | 0.634266i | ||||
\(538\) | −10.5565 | + | 2.82862i | −0.455125 | + | 0.121950i | ||||
\(539\) | 0.343146 | 0.0147803 | ||||||||
\(540\) | −6.53553 | − | 9.60660i | −0.281245 | − | 0.413402i | ||||
\(541\) | −0.636039 | + | 1.10165i | −0.0273455 | + | 0.0473637i | −0.879374 | − | 0.476131i | \(-0.842039\pi\) |
0.852029 | + | 0.523495i | \(0.175372\pi\) | |||||||
\(542\) | 1.93185 | − | 0.517638i | 0.0829801 | − | 0.0222345i | ||||
\(543\) | −14.4853 | − | 20.4853i | −0.621623 | − | 0.879108i | ||||
\(544\) | 2.24264i | 0.0961524i | ||||||||
\(545\) | 4.91289 | + | 1.00535i | 0.210445 | + | 0.0430644i | ||||
\(546\) | 13.7873 | − | 5.09032i | 0.590040 | − | 0.217846i | ||||
\(547\) | 5.03554 | + | 18.7929i | 0.215304 | + | 0.803526i | 0.986059 | + | 0.166395i | \(0.0532126\pi\) |
−0.770755 | + | 0.637132i | \(0.780121\pi\) | |||||||
\(548\) | −19.7873 | − | 5.30198i | −0.845270 | − | 0.226489i | ||||
\(549\) | 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 | ||||
\(552\) | 4.24264 | − | 3.00000i | 0.180579 | − | 0.127688i | ||||
\(553\) | −5.03554 | + | 18.7929i | −0.214133 | + | 0.799155i | ||||
\(554\) | −14.4853 | − | 25.0892i | −0.615421 | − | 1.06594i | ||||
\(555\) | 4.22072 | − | 10.8252i | 0.179160 | − | 0.459505i | ||||
\(556\) | −7.00000 | − | 12.1244i | −0.296866 | − | 0.514187i | ||||
\(557\) | −13.4945 | + | 3.61585i | −0.571781 | + | 0.153208i | −0.533114 | − | 0.846044i | \(-0.678978\pi\) |
−0.0386680 | + | 0.999252i | \(0.512311\pi\) | |||||||
\(558\) | −16.8995 | + | 8.07107i | −0.715413 | + | 0.341676i | ||||
\(559\) | − | 12.0000i | − | 0.507546i | ||||||
\(560\) | 3.69615 | + | 5.59808i | 0.156191 | + | 0.236562i | ||||
\(561\) | 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 | \(-0.449608\pi\) |
0.987495 | − | 0.157650i | \(-0.0503919\pi\) | |||||||
\(564\) | 7.18054 | − | 8.63808i | 0.302355 | − | 0.363729i | ||||
\(565\) | −44.6410 | + | 2.67949i | −1.87806 | + | 0.112727i | ||||
\(566\) | 10.0951 | + | 5.82843i | 0.424330 | + | 0.244987i | ||||
\(567\) | 15.8921 | + | 21.8275i | 0.667407 | + | 0.916669i | ||||
\(568\) | 2.73980 | − | 10.2251i | 0.114960 | − | 0.429035i | ||||
\(569\) | −10.7990 | −0.452717 | −0.226359 | − | 0.974044i | \(-0.572682\pi\) | ||||
−0.226359 | + | 0.974044i | \(0.572682\pi\) | |||||||
\(570\) | 4.45074 | + | 16.2847i | 0.186421 | + | 0.682090i | ||||
\(571\) | −10.4853 | −0.438795 | −0.219398 | − | 0.975636i | \(-0.570409\pi\) | ||||
−0.219398 | + | 0.975636i | \(0.570409\pi\) | |||||||
\(572\) | 0.125600 | − | 0.468746i | 0.00525160 | − | 0.0195992i | ||||
\(573\) | 16.6528 | + | 7.67199i | 0.695682 | + | 0.320502i | ||||
\(574\) | 7.79423 | + | 4.50000i | 0.325325 | + | 0.187826i | ||||
\(575\) | −13.9205 | + | 5.58750i | −0.580524 | + | 0.233015i | ||||
\(576\) | −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 | ||||
\(580\) | 6.94787 | + | 1.42178i | 0.288495 | + | 0.0590361i | ||||
\(581\) | − | 12.7279i | − | 0.528043i | ||||||
\(582\) | −14.4853 | − | 20.4853i | −0.600434 | − | 0.849142i | ||||
\(583\) | 1.57196 | − | 0.421207i | 0.0651041 | − | 0.0174446i | ||||
\(584\) | 8.12132 | + | 14.0665i | 0.336063 | + | 0.582078i | ||||
\(585\) | −4.57849 | − | 18.4130i | −0.189297 | − | 0.761283i | ||||
\(586\) | 12.9853 | + | 22.4912i | 0.536417 | + | 0.929102i | ||||
\(587\) | −10.6040 | + | 39.5745i | −0.437672 | + | 1.63342i | 0.296917 | + | 0.954903i | \(0.404042\pi\) |
−0.734589 | + | 0.678512i | \(0.762625\pi\) | |||||||
\(588\) | −2.00000 | − | 2.82843i | −0.0824786 | − | 0.116642i | ||||
\(589\) | 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 | ||||
\(592\) | −2.89778 | − | 0.776457i | −0.119098 | − | 0.0319122i | ||||
\(593\) | −9.96072 | − | 37.1739i | −0.409038 | − | 1.52655i | −0.796485 | − | 0.604658i | \(-0.793310\pi\) |
0.387447 | − | 0.921892i | \(-0.373357\pi\) | |||||||
\(594\) | 0.891433 | − | 0.0123413i | 0.0365760 | − | 0.000506368i | ||||
\(595\) | −3.01604 | + | 14.7387i | −0.123646 | + | 0.604226i | ||||
\(596\) | 11.3137i | 0.463428i | ||||||||
\(597\) | 20.1421 | − | 14.2426i | 0.824363 | − | 0.582912i | ||||
\(598\) | 8.19615 | − | 2.19615i | 0.335166 | − | 0.0898074i | ||||
\(599\) | 11.8492 | − | 20.5235i | 0.484147 | − | 0.838567i | −0.515687 | − | 0.856777i | \(-0.672463\pi\) |
0.999834 | + | 0.0182098i | \(0.00579669\pi\) | |||||||
\(600\) | 7.70711 | − | 3.94975i | 0.314641 | − | 0.161248i | ||||
\(601\) | 23.0000 | 0.938190 | 0.469095 | − | 0.883148i | \(-0.344580\pi\) | ||||
0.469095 | + | 0.883148i | \(0.344580\pi\) | |||||||
\(602\) | −12.2942 | + | 3.29423i | −0.501075 | + | 0.134263i | ||||
\(603\) | −9.60521 | + | 13.9907i | −0.391154 | + | 0.569746i | ||||
\(604\) | 9.29065 | + | 5.36396i | 0.378031 | + | 0.218256i | ||||
\(605\) | 18.3541 | + | 16.2755i | 0.746201 | + | 0.661694i | ||||
\(606\) | −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 | \(0.289973\pi\) | |||||||
\(608\) | 4.05317 | − | 1.60368i | 0.164378 | − | 0.0650379i | ||||
\(609\) | −16.2426 | − | 2.78680i | −0.658185 | − | 0.112927i | ||||
\(610\) | 0.300457 | + | 5.00569i | 0.0121651 | + | 0.202674i | ||||
\(611\) | 15.8856 | − | 9.17157i | 0.642664 | − | 0.371042i | ||||
\(612\) | −6.70745 | − | 0.524498i | −0.271132 | − | 0.0212016i | ||||
\(613\) | 2.79498 | − | 10.4310i | 0.112888 | − | 0.421305i | −0.886232 | − | 0.463242i | \(-0.846686\pi\) |
0.999120 | + | 0.0419368i | \(0.0133528\pi\) | |||||||
\(614\) | 10.0711 | − | 17.4436i | 0.406435 | − | 0.703966i | ||||
\(615\) | 6.87868 | − | 9.36396i | 0.277375 | − | 0.377591i | ||||
\(616\) | −0.514719 | −0.0207386 | ||||||||
\(617\) | −31.0871 | + | 8.32977i | −1.25152 | + | 0.335344i | −0.822924 | − | 0.568152i | \(-0.807659\pi\) |
−0.428597 | + | 0.903496i | \(0.640992\pi\) | |||||||
\(618\) | −0.476756 | − | 5.17423i | −0.0191779 | − | 0.208138i | ||||
\(619\) | − | 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 | ||||
\(622\) | −8.19615 | − | 2.19615i | −0.328636 | − | 0.0880577i | ||||
\(623\) | 9.18427 | + | 34.2761i | 0.367960 | + | 1.37324i | ||||
\(624\) | −4.59575 | + | 1.69677i | −0.183977 | + | 0.0679253i | ||||
\(625\) | −24.2846 | + | 5.93782i | −0.971384 | + | 0.237513i | ||||
\(626\) | 21.5563i | 0.861565i | ||||||||
\(627\) | −1.23090 | − | 0.403483i | −0.0491576 | − | 0.0161136i | ||||
\(628\) | 8.36396 | + | 8.36396i | 0.333758 | + | 0.333758i | ||||
\(629\) | −3.36396 | − | 5.82655i | −0.134130 | − | 0.232320i | ||||
\(630\) | −17.6076 | + | 9.74546i | −0.701502 | + | 0.388268i | ||||
\(631\) | 0.121320 | − | 0.210133i | 0.00482969 | − | 0.00836526i | −0.863600 | − | 0.504177i | \(-0.831796\pi\) |
0.868430 | + | 0.495812i | \(0.165129\pi\) | |||||||
\(632\) | 1.67851 | − | 6.26430i | 0.0667677 | − | 0.249181i | ||||
\(633\) | 6.01122 | − | 0.553876i | 0.238925 | − | 0.0220146i | ||||
\(634\) | − | 28.4558i | − | 1.13013i | ||||||
\(635\) | 2.65685 | − | 5.31371i | 0.105434 | − | 0.210868i | ||||
\(636\) | −12.6339 | − | 10.5022i | −0.500968 | − | 0.416438i | ||||
\(637\) | −1.46410 | − | 5.46410i | −0.0580098 | − | 0.216496i | ||||
\(638\) | −0.384776 | + | 0.384776i | −0.0152334 | + | 0.0152334i | ||||
\(639\) | 29.9411 | + | 10.5858i | 1.18445 | + | 0.418767i | ||||
\(640\) | −1.23205 | − | 1.86603i | −0.0487011 | − | 0.0737611i | ||||
\(641\) | −15.2913 | + | 8.82843i | −0.603969 | + | 0.348702i | −0.770602 | − | 0.637317i | \(-0.780044\pi\) |
0.166632 | + | 0.986019i | \(0.446711\pi\) | |||||||
\(642\) | −1.34847 | − | 14.6349i | −0.0532198 | − | 0.577595i | ||||
\(643\) | −4.29272 | + | 16.0206i | −0.169288 | + | 0.631792i | 0.828166 | + | 0.560483i | \(0.189384\pi\) |
−0.997454 | + | 0.0713094i | \(0.977282\pi\) | |||||||
\(644\) | −4.50000 | − | 7.79423i | −0.177325 | − | 0.307136i | ||||
\(645\) | 2.48528 | + | 16.2426i | 0.0978579 | + | 0.639553i | ||||
\(646\) | 8.97056 | + | 3.88437i | 0.352942 | + | 0.152828i | ||||
\(647\) | 12.7071 | + | 12.7071i | 0.499568 | + | 0.499568i | 0.911303 | − | 0.411735i | \(-0.135077\pi\) |
−0.411735 | + | 0.911303i | \(0.635077\pi\) | |||||||
\(648\) | −5.29738 | − | 7.27583i | −0.208101 | − | 0.285822i | ||||
\(649\) | −0.840532 | + | 0.485281i | −0.0329938 | + | 0.0190490i | ||||
\(650\) | 14.0406 | − | 1.69161i | 0.550718 | − | 0.0663506i | ||||
\(651\) | 11.2349 | + | 30.4300i | 0.440330 | + | 1.19264i | ||||
\(652\) | 5.21317 | + | 19.4558i | 0.204163 | + | 0.761948i | ||||
\(653\) | 14.8492 | − | 14.8492i | 0.581096 | − | 0.581096i | −0.354109 | − | 0.935204i | \(-0.615216\pi\) |
0.935204 | + | 0.354109i | \(0.115216\pi\) | |||||||
\(654\) | 3.82843 | + | 0.656854i | 0.149703 | + | 0.0256850i | ||||
\(655\) | 32.8601 | + | 6.72432i | 1.28395 | + | 0.262741i | ||||
\(656\) | −2.59808 | − | 1.50000i | −0.101438 | − | 0.0585652i | ||||
\(657\) | −43.9706 | + | 21.0000i | −1.71546 | + | 0.819288i | ||||
\(658\) | −13.7574 | − | 13.7574i | −0.536318 | − | 0.536318i | ||||
\(659\) | −19.7132 | + | 34.1443i | −0.767917 | + | 1.33007i | 0.170773 | + | 0.985310i | \(0.445374\pi\) |
−0.938690 | + | 0.344762i | \(0.887960\pi\) | |||||||
\(660\) | −0.0729260 | + | 0.660485i | −0.00283864 | + | 0.0257093i | ||||
\(661\) | −2.87868 | + | 4.98602i | −0.111968 | + | 0.193934i | −0.916564 | − | 0.399889i | \(-0.869049\pi\) |
0.804596 | + | 0.593823i | \(0.202382\pi\) | |||||||
\(662\) | −3.23905 | + | 12.0883i | −0.125889 | + | 0.469825i | ||||
\(663\) | −9.97861 | − | 4.59716i | −0.387537 | − | 0.178539i | ||||
\(664\) | 4.24264i | 0.164646i | ||||||||
\(665\) | 28.7942 | − | 5.08846i | 1.11659 | − | 0.197322i | ||||
\(666\) | 3.00000 | − | 8.48528i | 0.116248 | − | 0.328798i | ||||
\(667\) | −9.19051 | − | 2.46259i | −0.355858 | − | 0.0953519i | ||||
\(668\) | −22.6850 | − | 6.07844i | −0.877711 | − | 0.235182i | ||||
\(669\) | −23.2895 | − | 19.3598i | −0.900426 | − | 0.748494i | ||||
\(670\) | −9.46410 | − | 8.39230i | −0.365630 | − | 0.324223i | ||||
\(671\) | −0.333226 | − | 0.192388i | −0.0128640 | − | 0.00742706i | ||||
\(672\) | 3.00000 | + | 4.24264i | 0.115728 | + | 0.163663i | ||||
\(673\) | −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 | ||||
\(675\) | 10.0107 | + | 23.9747i | 0.385311 | + | 0.922787i | ||||
\(676\) | 5.00000 | 0.192308 | ||||||||
\(677\) | −34.6066 | − | 34.6066i | −1.33004 | − | 1.33004i | −0.905329 | − | 0.424711i | \(-0.860376\pi\) |
−0.424711 | − | 0.905329i | \(-0.639624\pi\) | |||||||
\(678\) | −34.4949 | + | 3.17837i | −1.32477 | + | 0.122065i | ||||
\(679\) | −37.6339 | + | 21.7279i | −1.44426 | + | 0.833841i | ||||
\(680\) | 1.00535 | − | 4.91289i | 0.0385533 | − | 0.188401i | ||||
\(681\) | 37.3236 | − | 13.7801i | 1.43024 | − | 0.528053i | ||||
\(682\) | 1.03457 | + | 0.277213i | 0.0396158 | + | 0.0106150i | ||||
\(683\) | 0.899495 | − | 0.899495i | 0.0344182 | − | 0.0344182i | −0.689688 | − | 0.724106i | \(-0.742252\pi\) |
0.724106 | + | 0.689688i | \(0.242252\pi\) | |||||||
\(684\) | 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 | ||||
\(687\) | −24.7884 | − | 11.4201i | −0.945737 | − | 0.435703i | ||||
\(688\) | 4.09808 | − | 1.09808i | 0.156238 | − | 0.0418638i | ||||
\(689\) | −13.4142 | − | 23.2341i | −0.511041 | − | 0.885149i | ||||
\(690\) | −10.6391 | + | 4.67009i | −0.405023 | + | 0.177787i | ||||
\(691\) | −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 | ||||
\(693\) | 0.120380 | − | 1.53946i | 0.00457285 | − | 0.0584791i | ||||
\(694\) | 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 | ||||
\(697\) | −1.74131 | − | 6.49867i | −0.0659570 | − | 0.246155i | ||||
\(698\) | 21.4847 | + | 5.75682i | 0.813209 | + | 0.217899i | ||||
\(699\) | −11.6094 | + | 13.9659i | −0.439107 | + | 0.528238i | ||||
\(700\) | −5.58750 | − | 13.9205i | −0.211188 | − | 0.526145i | ||||
\(701\) | 28.7635 | − | 16.6066i | 1.08638 | − | 0.627223i | 0.153771 | − | 0.988107i | \(-0.450858\pi\) |
0.932611 | + | 0.360884i | \(0.117525\pi\) | |||||||
\(702\) | −4.00000 | − | 14.1421i | −0.150970 | − | 0.533761i | ||||
\(703\) | −8.12493 | + | 10.2462i | −0.306437 | + | 0.386445i | ||||
\(704\) | 0.171573 | 0.00646640 | ||||||||
\(705\) | −19.6026 | + | 15.7042i | −0.738275 | + | 0.591456i | ||||
\(706\) | −2.48528 | − | 4.30463i | −0.0935348 | − | 0.162007i | ||||
\(707\) | −50.1713 | + | 13.4434i | −1.88688 | + | 0.505589i | ||||
\(708\) | 8.89898 | + | 4.09978i | 0.334444 | + | 0.154079i | ||||
\(709\) | 37.8440 | + | 21.8492i | 1.42126 | + | 0.820566i | 0.996407 | − | 0.0846962i | \(-0.0269920\pi\) |
0.424854 | + | 0.905262i | \(0.360325\pi\) | |||||||
\(710\) | −10.5858 | + | 21.1716i | −0.397277 | + | 0.794555i | ||||
\(711\) | 18.3431 | + | 6.48528i | 0.687922 | + | 0.243217i | ||||
\(712\) | −3.06142 | − | 11.4254i | −0.114732 | − | 0.428184i | ||||
\(713\) | 4.84714 | + | 18.0898i | 0.181527 | + | 0.677468i | ||||
\(714\) | −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 | ||||
\(717\) | −0.497386 | + | 1.07963i | −0.0185752 | + | 0.0403194i | ||||
\(718\) | 8.89927 | − | 2.38455i | 0.332118 | − | 0.0889907i | ||||
\(719\) | −3.70711 | − | 6.42090i | −0.138252 | − | 0.239459i | 0.788583 | − | 0.614928i | \(-0.210815\pi\) |
−0.926835 | + | 0.375469i | \(0.877482\pi\) | |||||||
\(720\) | 5.86919 | − | 3.24849i | 0.218732 | − | 0.121064i | ||||
\(721\) | −9.00000 | −0.335178 | ||||||||
\(722\) | 0.605571 | − | 18.9903i | 0.0225370 | − | 0.706748i | ||||
\(723\) | 0.485281 | + | 0.686292i | 0.0180478 | + | 0.0255235i | ||||
\(724\) | 12.5446 | − | 7.24264i | 0.466217 | − | 0.269171i | ||||
\(725\) | −14.5831 | − | 6.22929i | −0.541604 | − | 0.231350i | ||||
\(726\) | 14.6123 | + | 12.1467i | 0.542312 | + | 0.450805i | ||||
\(727\) | 14.6546 | + | 3.92669i | 0.543510 | + | 0.145633i | 0.520120 | − | 0.854093i | \(-0.325887\pi\) |
0.0233900 | + | 0.999726i | \(0.492554\pi\) | |||||||
\(728\) | 2.19615 | + | 8.19615i | 0.0813948 | + | 0.303770i | ||||
\(729\) | 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 | ||||
\(732\) | 0.356397 | + | 3.86798i | 0.0131728 | + | 0.142965i | ||||
\(733\) | −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 | ||||||||
\(735\) | 3.11339 | + | 7.09273i | 0.114839 | + | 0.261619i | ||||
\(736\) | 1.50000 | + | 2.59808i | 0.0552907 | + | 0.0957664i | ||||
\(737\) | 0.937492 | − | 0.251200i | 0.0345329 | − | 0.00925308i | ||||
\(738\) | 5.09393 | − | 7.41970i | 0.187510 | − | 0.273123i | ||||
\(739\) | 29.4194 | − | 16.9853i | 1.08221 | − | 0.624814i | 0.150718 | − | 0.988577i | \(-0.451842\pi\) |
0.931491 | + | 0.363763i | \(0.118508\pi\) | |||||||
\(740\) | 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 | ||||
\(743\) | −25.0856 | − | 6.72168i | −0.920303 | − | 0.246594i | −0.232588 | − | 0.972575i | \(-0.574719\pi\) |
−0.687715 | + | 0.725981i | \(0.741386\pi\) | |||||||
\(744\) | −3.74496 | − | 10.1433i | −0.137297 | − | 0.371872i | ||||
\(745\) | 5.07180 | − | 24.7846i | 0.185816 | − | 0.908038i | ||||
\(746\) | 15.1427 | − | 8.74264i | 0.554414 | − | 0.320091i | ||||
\(747\) | −12.6892 | − | 0.992248i | −0.464273 | − | 0.0363044i | ||||
\(748\) | 0.272078 | + | 0.272078i | 0.00994815 | + | 0.00994815i | ||||
\(749\) | −25.4558 | −0.930136 | ||||||||
\(750\) | −18.6544 | + | 5.19759i | −0.681161 | + | 0.189789i | ||||
\(751\) | 21.6066 | − | 37.4237i | 0.788436 | − | 1.36561i | −0.138489 | − | 0.990364i | \(-0.544224\pi\) |
0.926925 | − | 0.375247i | \(-0.122442\pi\) | |||||||
\(752\) | 4.58579 | + | 4.58579i | 0.167226 | + | 0.167226i | ||||
\(753\) | 24.4853 | − | 17.3137i | 0.892293 | − | 0.630947i | ||||
\(754\) | 7.76874 | + | 4.48528i | 0.282921 | + | 0.163344i | ||||
\(755\) | −17.9482 | − | 15.9156i | −0.653201 | − | 0.579226i | ||||
\(756\) | −13.3908 | + | 7.98036i | −0.487019 | + | 0.290243i | ||||
\(757\) | 44.2100 | + | 11.8460i | 1.60684 | + | 0.430551i | 0.947099 | − | 0.320942i | \(-0.103999\pi\) |
0.659741 | + | 0.751493i | \(0.270666\pi\) | |||||||
\(758\) | −21.7191 | − | 5.81962i | −0.788874 | − | 0.211378i | ||||
\(759\) | 0.150758 | − | 0.878680i | 0.00547215 | − | 0.0318941i | ||||
\(760\) | −9.59808 | + | 1.69615i | −0.348159 | + | 0.0615259i | ||||
\(761\) | 6.51472i | 0.236158i | 0.993004 | + | 0.118079i | \(0.0376737\pi\) | ||||
−0.993004 | + | 0.118079i | \(0.962326\pi\) | |||||||
\(762\) | 1.92554 | − | 4.17958i | 0.0697550 | − | 0.151410i | ||||
\(763\) | 1.74131 | − | 6.49867i | 0.0630398 | − | 0.235268i | ||||
\(764\) | −5.29289 | + | 9.16756i | −0.191490 | + | 0.331671i | ||||
\(765\) | 14.4587 | + | 4.15587i | 0.522755 | + | 0.150256i | ||||
\(766\) | 15.2426 | − | 26.4010i | 0.550739 | − | 0.953908i | ||||
\(767\) | 11.3137 | + | 11.3137i | 0.408514 | + | 0.408514i | ||||
\(768\) | −1.00000 | − | 1.41421i | −0.0360844 | − | 0.0510310i | ||||
\(769\) | 33.7495 | + | 19.4853i | 1.21704 | + | 0.702657i | 0.964283 | − | 0.264873i | \(-0.0853301\pi\) |
0.252755 | + | 0.967530i | \(0.418663\pi\) | |||||||
\(770\) | 1.12758 | + | 0.230742i | 0.0406351 | + | 0.00831537i | ||||
\(771\) | −2.41421 | + | 14.0711i | −0.0869458 | + | 0.506757i | ||||
\(772\) | 8.48528 | − | 8.48528i | 0.305392 | − | 0.305392i | ||||
\(773\) | 2.18853 | + | 8.16772i | 0.0787161 | + | 0.293772i | 0.994050 | − | 0.108923i | \(-0.0347401\pi\) |
−0.915334 | + | 0.402695i | \(0.868073\pi\) | |||||||
\(774\) | 2.32577 | + | 12.5136i | 0.0835979 | + | 0.449793i | ||||
\(775\) | 3.73357 | + | 30.9891i | 0.134114 | + | 1.11316i | ||||
\(776\) | 12.5446 | − | 7.24264i | 0.450326 | − | 0.259996i | ||||
\(777\) | −14.1582 | − | 6.52270i | −0.507922 | − | 0.234001i | ||||
\(778\) | −3.48528 | − | 3.48528i | −0.124953 | − | 0.124953i | ||||
\(779\) | −10.5000 | + | 7.79423i | −0.376202 | + | 0.279257i | ||||
\(780\) | 10.8284 | − | 1.65685i | 0.387720 | − | 0.0593249i | ||||
\(781\) | −0.908117 | − | 1.57290i | −0.0324950 | − | 0.0562830i | ||||
\(782\) | −1.74131 | + | 6.49867i | −0.0622693 | + | 0.232392i | ||||
\(783\) | −4.04456 | + | 15.9760i | −0.144541 | + | 0.570934i | ||||
\(784\) | 1.73205 | − | 1.00000i | 0.0618590 | − | 0.0357143i | ||||
\(785\) | −14.5732 | − | 22.0721i | −0.520141 | − | 0.787789i | ||||
\(786\) | 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 | \(0.228096\pi\) | |||||||
\(788\) | 2.20377 | + | 8.22459i | 0.0785061 | + | 0.292989i | ||||
\(789\) | 1.64451 | − | 1.97832i | 0.0585462 | − | 0.0704301i | ||||
\(790\) | −6.48528 | + | 12.9706i | −0.230736 | + | 0.461472i | ||||
\(791\) | 60.0000i | 2.13335i | ||||||||
\(792\) | −0.0401266 | + | 0.513152i | −0.00142584 | + | 0.0182341i | ||||
\(793\) | −1.64173 | + | 6.12701i | −0.0582994 | + | 0.217576i | ||||
\(794\) | 3.98528 | − | 6.90271i | 0.141432 | − | 0.244968i | ||||
\(795\) | 22.9688 | + | 28.6704i | 0.814619 | + | 1.01683i | ||||
\(796\) | 7.12132 | + | 12.3345i | 0.252409 | + | 0.437184i | ||||
\(797\) | 1.77817 | + | 1.77817i | 0.0629862 | + | 0.0629862i | 0.737898 | − | 0.674912i | \(-0.235818\pi\) |
−0.674912 | + | 0.737898i | \(0.735818\pi\) | |||||||
\(798\) | 22.1667 | − | 4.65153i | 0.784693 | − | 0.164662i | ||||
\(799\) | 14.5442i | 0.514535i | ||||||||
\(800\) | 1.86250 | + | 4.64016i | 0.0658494 | + | 0.164054i | ||||
\(801\) | 34.8878 | − | 6.48420i | 1.23270 | − | 0.229108i | ||||
\(802\) | 8.96224 | + | 33.4475i | 0.316468 | + | 1.18107i | ||||
\(803\) | 2.69184 | + | 0.721276i | 0.0949929 | + | 0.0254533i | ||||
\(804\) | −7.53465 | − | 6.26330i | −0.265727 | − | 0.220890i | ||||
\(805\) | 6.36396 | + | 19.0919i | 0.224300 | + | 0.672900i | ||||
\(806\) | − | 17.6569i | − | 0.621936i | ||||||
\(807\) | 18.8496 | − | 1.73681i | 0.663538 | − | 0.0611386i | ||||
\(808\) | 16.7238 | − | 4.48112i | 0.588340 | − | 0.157645i | ||||
\(809\) | 24.6863 | 0.867924 | 0.433962 | − | 0.900931i | \(-0.357115\pi\) | ||||
0.433962 | + | 0.900931i | \(0.357115\pi\) | |||||||
\(810\) | 8.34315 | + | 18.3137i | 0.293148 | + | 0.643478i | ||||
\(811\) | −10.2279 | + | 17.7153i | −0.359151 | + | 0.622068i | −0.987819 | − | 0.155606i | \(-0.950267\pi\) |
0.628668 | + | 0.777674i | \(0.283600\pi\) | |||||||
\(812\) | 2.46259 | − | 9.19051i | 0.0864200 | − | 0.322524i | ||||
\(813\) | −3.44949 | + | 0.317837i | −0.120979 | + | 0.0111470i | ||||
\(814\) | −0.445759 | + | 0.257359i | −0.0156239 | + | 0.00902044i | ||||
\(815\) | −2.69853 | − | 44.9583i | −0.0945255 | − | 1.57482i | ||||
\(816\) | 0.656854 | − | 3.82843i | 0.0229945 | − | 0.134022i | ||||
\(817\) | 2.70577 | − | 18.2942i | 0.0946630 | − | 0.640034i | ||||
\(818\) | 17.2929 | − | 17.2929i | 0.604632 | − | 0.604632i | ||||
\(819\) | −25.0273 | + | 4.65153i | −0.874523 | + | 0.162538i | ||||
\(820\) | 5.01910 | + | 4.45069i | 0.175274 | + | 0.155425i | ||||
\(821\) | −5.79050 | − | 3.34315i | −0.202090 | − | 0.116677i | 0.395540 | − | 0.918449i | \(-0.370557\pi\) |
−0.597630 | + | 0.801772i | \(0.703891\pi\) | |||||||
\(822\) | 32.2261 | + | 14.8466i | 1.12401 | + | 0.517835i | ||||
\(823\) | 38.0026 | − | 10.1828i | 1.32469 | − | 0.354949i | 0.473955 | − | 0.880549i | \(-0.342826\pi\) |
0.850731 | + | 0.525601i | \(0.176159\pi\) | |||||||
\(824\) | 3.00000 | 0.104510 | ||||||||
\(825\) | 0.455844 | − | 1.41421i | 0.0158705 | − | 0.0492366i | ||||
\(826\) | 8.48528 | − | 14.6969i | 0.295241 | − | 0.511372i | ||||
\(827\) | −6.73305 | + | 1.80411i | −0.234131 | + | 0.0627352i | −0.373977 | − | 0.927438i | \(-0.622006\pi\) |
0.139846 | + | 0.990173i | \(0.455339\pi\) | |||||||
\(828\) | −8.12132 | + | 3.87868i | −0.282235 | + | 0.134793i | ||||
\(829\) | − | 28.9706i | − | 1.00619i | −0.864231 | − | 0.503095i | \(-0.832195\pi\) | ||
0.864231 | − | 0.503095i | \(-0.167805\pi\) | |||||||
\(830\) | 1.90192 | − | 9.29423i | 0.0660167 | − | 0.322607i | ||||
\(831\) | 17.3795 | + | 47.0727i | 0.602887 | + | 1.63293i | ||||
\(832\) | −0.732051 | − | 2.73205i | −0.0253793 | − | 0.0947168i | ||||
\(833\) | 4.33245 | + | 1.16088i | 0.150110 | + | 0.0402220i | ||||
\(834\) | 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 | ||||
\(837\) | 31.2132 | − | 8.82843i | 1.07889 | − | 0.305155i | ||||
\(838\) | −7.72017 | + | 28.8120i | −0.266689 | + | 0.995296i | ||||
\(839\) | 14.1213 | + | 24.4588i | 0.487522 | + | 0.844413i | 0.999897 | − | 0.0143488i | \(-0.00456751\pi\) |
−0.512375 | + | 0.858762i | \(0.671234\pi\) | |||||||
\(840\) | −4.67009 | − | 10.6391i | −0.161133 | − | 0.367084i | ||||
\(841\) | 9.47056 | + | 16.4035i | 0.326571 | + | 0.565638i | ||||
\(842\) | 20.2560 | − | 5.42758i | 0.698068 | − | 0.187047i | ||||
\(843\) | −8.72792 | + | 6.17157i | −0.300606 | + | 0.212560i | ||||
\(844\) | 3.48528i | 0.119968i | ||||||||
\(845\) | −10.9534 | − | 2.24144i | −0.376807 | − | 0.0771078i | ||||
\(846\) | −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 | ||||
\(850\) | −4.40477 | + | 10.3118i | −0.151083 | + | 0.353693i | ||||
\(851\) | −7.79423 | − | 4.50000i | −0.267183 | − | 0.154258i | ||||
\(852\) | −7.67199 | + | 16.6528i | −0.262838 | + | 0.570517i | ||||
\(853\) | 5.47961 | − | 20.4502i | 0.187618 | − | 0.700200i | −0.806437 | − | 0.591320i | \(-0.798607\pi\) |
0.994055 | − | 0.108880i | \(-0.0347265\pi\) | |||||||
\(854\) | 6.72792 | 0.230225 | ||||||||
\(855\) | −2.82822 | − | 29.1033i | −0.0967231 | − | 0.995311i | ||||
\(856\) | 8.48528 | 0.290021 | ||||||||
\(857\) | 2.19615 | − | 8.19615i | 0.0750191 | − | 0.279975i | −0.918219 | − | 0.396074i | \(-0.870372\pi\) |
0.993238 | + | 0.116099i | \(0.0370390\pi\) | |||||||
\(858\) | −0.351705 | + | 0.763412i | −0.0120070 | + | 0.0260624i | ||||
\(859\) | −12.5191 | − | 7.22792i | −0.427147 | − | 0.246614i | 0.270983 | − | 0.962584i | \(-0.412651\pi\) |
−0.698131 | + | 0.715971i | \(0.745984\pi\) | |||||||
\(860\) | −9.46979 | + | 0.568406i | −0.322917 | + | 0.0193825i | ||||
\(861\) | −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 | \(0.643328\pi\) |
−0.900327 | + | 0.435215i | \(0.856672\pi\) | |||||||
\(864\) | 4.46360 | − | 2.66012i | 0.151855 | − | 0.0904991i | ||||
\(865\) | −24.6047 | − | 37.2656i | −0.836587 | − | 1.26707i | ||||
\(866\) | 9.51472i | 0.323323i | ||||||||
\(867\) | −16.9289 | + | 11.9706i | −0.574937 | + | 0.406542i | ||||
\(868\) | −18.0898 | + | 4.84714i | −0.614007 | + | 0.164523i | ||||
\(869\) | −0.556349 | − | 0.963625i | −0.0188729 | − | 0.0326887i | ||||
\(870\) | −11.4443 | − | 4.46211i | −0.387999 | − | 0.151280i | ||||
\(871\) | −8.00000 | − | 13.8564i | −0.271070 | − | 0.469506i | ||||
\(872\) | −0.580438 | + | 2.16622i | −0.0196561 | + | 0.0733576i | ||||
\(873\) | 18.7279 | + | 39.2132i | 0.633844 | + | 1.32717i | ||||
\(874\) | 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 | ||||
\(877\) | −27.4862 | − | 7.36491i | −0.928144 | − | 0.248695i | −0.237081 | − | 0.971490i | \(-0.576191\pi\) |
−0.691063 | + | 0.722794i | \(0.742857\pi\) | |||||||
\(878\) | 7.62373 | + | 28.4522i | 0.257289 | + | 0.960214i | ||||
\(879\) | −15.5798 | − | 42.1981i | −0.525492 | − | 1.42331i | ||||
\(880\) | −0.375860 | − | 0.0769140i | −0.0126702 | − | 0.00259277i | ||||
\(881\) | − | 49.2843i | − | 1.66043i | −0.557444 | − | 0.830215i | \(-0.688218\pi\) | ||
0.557444 | − | 0.830215i | \(-0.311782\pi\) | |||||||
\(882\) | 2.58579 | + | 5.41421i | 0.0870680 | + | 0.182306i | ||||
\(883\) | −3.39496 | + | 0.909676i | −0.114249 | + | 0.0306130i | −0.315491 | − | 0.948929i | \(-0.602169\pi\) |
0.201241 | + | 0.979542i | \(0.435502\pi\) | |||||||
\(884\) | 3.17157 | − | 5.49333i | 0.106672 | − | 0.184761i | ||||
\(885\) | −17.6569 | − | 12.9706i | −0.593529 | − | 0.436001i | ||||
\(886\) | 34.2426 | 1.15040 | ||||||||
\(887\) | 18.7929 | − | 5.03554i | 0.631004 | − | 0.169077i | 0.0708787 | − | 0.997485i | \(-0.477420\pi\) |
0.560125 | + | 0.828408i | \(0.310753\pi\) | |||||||
\(888\) | 4.71940 | + | 2.17423i | 0.158373 | + | 0.0729625i | ||||
\(889\) | −6.90271 | − | 3.98528i | −0.231509 | − | 0.133662i | ||||
\(890\) | 1.58471 | + | 26.4017i | 0.0531196 | + | 0.884985i | ||||
\(891\) | −1.52539 | − | 0.240027i | −0.0511024 | − | 0.00804120i | ||||
\(892\) | 12.3640 | − | 12.3640i | 0.413976 | − | 0.413976i | ||||
\(893\) | 26.2860 | − | 10.4003i | 0.879626 | − | 0.348034i | ||||
\(894\) | 3.31371 | − | 19.3137i | 0.110827 | − | 0.645947i | ||||
\(895\) | 15.6314 | + | 13.8612i | 0.522500 | + | 0.463327i | ||||
\(896\) | −2.59808 | + | 1.50000i | −0.0867956 | + | 0.0501115i | ||||
\(897\) | −14.6349 | + | 1.34847i | −0.488647 | + | 0.0450241i | ||||
\(898\) | −4.61434 | + | 17.2209i | −0.153982 | + | 0.574670i | ||||
\(899\) | −9.89949 | + | 17.1464i | −0.330167 | + | 0.571865i | ||||
\(900\) | −14.3137 | + | 4.48528i | −0.477124 | + | 0.149509i | ||||
\(901\) | 21.2721 | 0.708676 | ||||||||
\(902\) | −0.497180 | + | 0.133219i | −0.0165543 | + | 0.00443571i | ||||
\(903\) | 21.9524 | − | 2.02270i | 0.730531 | − | 0.0673114i | ||||
\(904\) | − | 20.0000i | − | 0.665190i | ||||||
\(905\) | −30.7279 | + | 10.2426i | −1.02143 | + | 0.340477i | ||||
\(906\) | −14.2891 | − | 11.8780i | −0.474723 | − | 0.394621i | ||||
\(907\) | −30.6753 | − | 8.21941i | −1.01856 | − | 0.272921i | −0.289355 | − | 0.957222i | \(-0.593441\pi\) |
−0.729200 | + | 0.684301i | \(0.760108\pi\) | |||||||
\(908\) | 5.94522 | + | 22.1879i | 0.197299 | + | 0.736330i | ||||
\(909\) | 9.49117 | + | 51.0666i | 0.314802 | + | 1.69377i | ||||
\(910\) | −1.13681 | − | 18.9396i | −0.0376850 | − | 0.627841i | ||||
\(911\) | − | 29.3137i | − | 0.971206i | −0.874179 | − | 0.485603i | \(-0.838600\pi\) | ||
0.874179 | − | 0.485603i | \(-0.161400\pi\) | |||||||
\(912\) | −7.38891 | + | 1.55051i | −0.244671 | + | 0.0513425i | ||||
\(913\) | 0.514719 | + | 0.514719i | 0.0170347 | + | 0.0170347i | ||||
\(914\) | 17.6569 | + | 30.5826i | 0.584037 | + | 1.01158i | ||||
\(915\) | 0.953220 | − | 8.63325i | 0.0315125 | − | 0.285406i | ||||
\(916\) | 7.87868 | − | 13.6463i | 0.260319 | − | 0.450886i | ||||
\(917\) | 11.6469 | − | 43.4667i | 0.384613 | − | 1.43540i | ||||
\(918\) | 11.2967 | + | 2.85994i | 0.372847 | + | 0.0943921i | ||||
\(919\) | − | 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 | ||||
\(922\) | −6.49964 | − | 24.2570i | −0.214054 | − | 0.798862i | ||||
\(923\) | −21.1716 | + | 21.1716i | −0.696871 | + | 0.696871i | ||||
\(924\) | 0.878680 | + | 0.150758i | 0.0289064 | + | 0.00495956i | ||||
\(925\) | −11.7992 | − | 9.26174i | −0.387954 | − | 0.304524i | ||||
\(926\) | −35.9273 | + | 20.7426i | −1.18064 | + | 0.681645i | ||||
\(927\) | −0.701625 | + | 8.97261i | −0.0230444 | + | 0.294699i | ||||
\(928\) | −0.820863 | + | 3.06350i | −0.0269462 | + | 0.100564i | ||||
\(929\) | 24.2990 | + | 42.0871i | 0.797224 | + | 1.38083i | 0.921417 | + | 0.388574i | \(0.127032\pi\) |
−0.124193 | + | 0.992258i | \(0.539634\pi\) | |||||||
\(930\) | 3.65685 | + | 23.8995i | 0.119913 | + | 0.783695i | ||||
\(931\) | −1.00000 | − | 8.66025i | −0.0327737 | − | 0.283828i | ||||
\(932\) | −7.41421 | − | 7.41421i | −0.242861 | − | 0.242861i | ||||
\(933\) | 13.3485 | + | 6.14966i | 0.437009 | + | 0.201331i | ||||
\(934\) | 2.15232 | − | 1.24264i | 0.0704260 | − | 0.0406604i | ||||
\(935\) | −0.474064 | − | 0.718002i | −0.0155035 | − | 0.0234812i | ||||
\(936\) | 8.34242 | − | 1.55051i | 0.272680 | − | 0.0506800i | ||||
\(937\) | −1.45333 | − | 5.42389i | −0.0474781 | − | 0.177191i | 0.938115 | − | 0.346323i | \(-0.112570\pi\) |
−0.985593 | + | 0.169133i | \(0.945903\pi\) | |||||||
\(938\) | −12.0000 | + | 12.0000i | −0.391814 | + | 0.391814i | ||||
\(939\) | 6.31371 | − | 36.7990i | 0.206040 | − | 1.20089i | ||||
\(940\) | −7.99020 | − | 12.1017i | −0.260611 | − | 0.394714i | ||||
\(941\) | −22.3426 | − | 12.8995i | −0.728347 | − | 0.420512i | 0.0894699 | − | 0.995990i | \(-0.471483\pi\) |
−0.817817 | + | 0.575478i | \(0.804816\pi\) | |||||||
\(942\) | −11.8284 | − | 16.7279i | −0.385391 | − | 0.545025i | ||||
\(943\) | −6.36396 | − | 6.36396i | −0.207239 | − | 0.207239i | ||||
\(944\) | −2.82843 | + | 4.89898i | −0.0920575 | + | 0.159448i | ||||
\(945\) | 32.9124 | − | 11.4794i | 1.07064 | − | 0.373425i | ||||
\(946\) | 0.363961 | − | 0.630399i | 0.0118334 | − | 0.0204960i | ||||
\(947\) | 14.2902 | − | 53.3319i | 0.464370 | − | 1.73305i | −0.194599 | − | 0.980883i | \(-0.562341\pi\) |
0.658969 | − | 0.752170i | \(-0.270993\pi\) | |||||||
\(948\) | −4.70017 | + | 10.2022i | −0.152655 | + | 0.331352i | ||||
\(949\) | − | 45.9411i | − | 1.49131i | ||||||
\(950\) | 21.7866 | + | 0.586988i | 0.706850 | + | 0.0190444i | ||||
\(951\) | −8.33452 | + | 48.5772i | −0.270265 | + | 1.57522i | ||||
\(952\) | −6.49867 | − | 1.74131i | −0.210623 | − | 0.0564363i | ||||
\(953\) | 4.80119 | + | 1.28648i | 0.155526 | + | 0.0416731i | 0.335742 | − | 0.941954i | \(-0.391013\pi\) |
−0.180216 | + | 0.983627i | \(0.557680\pi\) | |||||||
\(954\) | 18.4915 | + | 21.6287i | 0.598683 | + | 0.700255i | ||||
\(955\) | 15.7047 | − | 17.7104i | 0.508192 | − | 0.573094i | ||||
\(956\) | −0.594346 | − | 0.343146i | −0.0192225 | − | 0.0110981i | ||||
\(957\) | 0.769553 | − | 0.544156i | 0.0248761 | − | 0.0175901i | ||||
\(958\) | 21.4853 | + | 21.4853i | 0.694158 | + | 0.694158i | ||||
\(959\) | 30.7279 | − | 53.2223i | 0.992256 | − | 1.71864i | ||||
\(960\) | 1.55670 | + | 3.54636i | 0.0502422 | + | 0.114458i | ||||
\(961\) | 7.97056 | 0.257115 | ||||||||
\(962\) | 6.00000 | + | 6.00000i | 0.193448 | + | 0.193448i | ||||
\(963\) | −1.98450 | + | 25.3784i | −0.0639495 | + | 0.817807i | ||||
\(964\) | −0.420266 | + | 0.242641i | −0.0135359 | + | 0.00781493i | ||||
\(965\) | −22.3923 | + | 14.7846i | −0.720834 | + | 0.475933i | ||||
\(966\) | 5.39910 | + | 14.6236i | 0.173713 | + | 0.470507i | ||||
\(967\) | 41.9751 | + | 11.2472i | 1.34983 | + | 0.361686i | 0.860072 | − | 0.510173i | \(-0.170419\pi\) |
0.489757 | + | 0.871859i | \(0.337085\pi\) | |||||||
\(968\) | −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 | −0.204652 | − | 0.978835i | \(-0.565606\pi\) |
0.745370 | + | 0.666651i | \(0.232273\pi\) | |||||||
\(972\) | 6.91215 | + | 13.9722i | 0.221707 | + | 0.448158i | ||||
\(973\) | 40.5689 | − | 10.8704i | 1.30058 | − | 0.348489i | ||||
\(974\) | −17.3995 | − | 30.1368i | −0.557516 | − | 0.965646i | ||||
\(975\) | −24.4643 | − | 1.22463i | −0.783484 | − | 0.0392195i | ||||
\(976\) | −2.24264 | −0.0717852 | ||||||||
\(977\) | 7.75736 | + | 7.75736i | 0.248180 | + | 0.248180i | 0.820223 | − | 0.572043i | \(-0.193849\pi\) |
−0.572043 | + | 0.820223i | \(0.693849\pi\) | |||||||
\(978\) | −3.20096 | − | 34.7400i | −0.102355 | − | 1.11086i | ||||
\(979\) | −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 | ||||
\(982\) | −1.77495 | − | 6.62419i | −0.0566408 | − | 0.211386i | ||||
\(983\) | −15.8951 | − | 4.25909i | −0.506976 | − | 0.135844i | −0.00374017 | − | 0.999993i | \(-0.501191\pi\) |
−0.503236 | + | 0.864149i | \(0.667857\pi\) | |||||||
\(984\) | 3.99585 | + | 3.32162i | 0.127383 | + | 0.105889i | ||||
\(985\) | −1.14076 | − | 19.0053i | −0.0363475 | − | 0.605559i | ||||
\(986\) | −6.15978 | + | 3.55635i | −0.196167 | + | 0.113257i | ||||
\(987\) | 19.4558 | + | 27.5147i | 0.619286 | + | 0.875803i | ||||
\(988\) | −12.1962 | − | 1.80385i | −0.388011 | − | 0.0573880i | ||||
\(989\) | 12.7279 | 0.404724 | ||||||||
\(990\) | 0.317944 | − | 1.10616i | 0.0101049 | − | 0.0351560i | ||||
\(991\) | −3.00000 | − | 5.19615i | −0.0952981 | − | 0.165061i | 0.814435 | − | 0.580255i | \(-0.197047\pi\) |
−0.909733 | + | 0.415194i | \(0.863714\pi\) | |||||||
\(992\) | 6.02993 | − | 1.61571i | 0.191450 | − | 0.0512990i | ||||
\(993\) | 9.06998 | − | 19.6873i | 0.287827 | − | 0.624758i | ||||
\(994\) | 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 | ||||
\(997\) | −4.05991 | − | 15.1518i | −0.128579 | − | 0.479862i | 0.871363 | − | 0.490638i | \(-0.163236\pi\) |
−0.999942 | + | 0.0107763i | \(0.996570\pi\) | |||||||
\(998\) | 9.82750 | + | 36.6767i | 0.311084 | + | 1.16098i | ||||
\(999\) | −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.b.83.2 | yes | 8 | |
3.2 | odd | 2 | 570.2.v.a.83.1 | ✓ | 8 | ||
5.2 | odd | 4 | 570.2.v.a.197.2 | yes | 8 | ||
15.2 | even | 4 | inner | 570.2.v.b.197.1 | yes | 8 | |
19.11 | even | 3 | inner | 570.2.v.b.353.1 | yes | 8 | |
57.11 | odd | 6 | 570.2.v.a.353.2 | yes | 8 | ||
95.87 | odd | 12 | 570.2.v.a.467.1 | yes | 8 | ||
285.182 | even | 12 | inner | 570.2.v.b.467.2 | yes | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.v.a.83.1 | ✓ | 8 | 3.2 | odd | 2 | ||
570.2.v.a.197.2 | yes | 8 | 5.2 | odd | 4 | ||
570.2.v.a.353.2 | yes | 8 | 57.11 | odd | 6 | ||
570.2.v.a.467.1 | yes | 8 | 95.87 | odd | 12 | ||
570.2.v.b.83.2 | yes | 8 | 1.1 | even | 1 | trivial | |
570.2.v.b.197.1 | yes | 8 | 15.2 | even | 4 | inner | |
570.2.v.b.353.1 | yes | 8 | 19.11 | even | 3 | inner | |
570.2.v.b.467.2 | yes | 8 | 285.182 | even | 12 | inner |