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 | 353.1 | ||
Root | \(0.258819 + 0.965926i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 570.353 |
Dual form | 570.2.v.b.197.1 |
$q$-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 | ||||
\(3\) | 1.72474 | − | 0.158919i | 0.995782 | − | 0.0917517i | ||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | 0.448288 | − | 2.19067i | 0.200480 | − | 0.979698i | ||||
\(6\) | −1.62484 | + | 0.599900i | −0.663340 | + | 0.244908i | ||||
\(7\) | 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 | ||||
\(9\) | 2.94949 | − | 0.548188i | 0.983163 | − | 0.182729i | ||||
\(10\) | 0.133975 | + | 2.23205i | 0.0423665 | + | 0.705836i | ||||
\(11\) | 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 | ||||
\(13\) | −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 | ||||
\(15\) | 0.425044 | − | 3.84959i | 0.109746 | − | 0.993960i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | 2.16622 | − | 0.580438i | 0.525387 | − | 0.140777i | 0.0136295 | − | 0.999907i | \(-0.495661\pi\) |
0.511757 | + | 0.859130i | \(0.328995\pi\) | |||||||
\(18\) | −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 | ||||
\(21\) | 3.32162 | − | 3.99585i | 0.724837 | − | 0.871967i | ||||
\(22\) | −0.0444063 | − | 0.165727i | −0.00946746 | − | 0.0353330i | ||||
\(23\) | −2.89778 | − | 0.776457i | −0.604228 | − | 0.161903i | −0.0562805 | − | 0.998415i | \(-0.517924\pi\) |
−0.547948 | + | 0.836512i | \(0.684591\pi\) | |||||||
\(24\) | −1.10721 | + | 1.33195i | −0.226008 | + | 0.271883i | ||||
\(25\) | −4.59808 | − | 1.96410i | −0.919615 | − | 0.392820i | ||||
\(26\) | − | 2.82843i | − | 0.554700i | ||||||
\(27\) | 5.00000 | − | 1.41421i | 0.962250 | − | 0.272166i | ||||
\(28\) | 0.776457 | − | 2.89778i | 0.146737 | − | 0.547628i | ||||
\(29\) | −1.58579 | − | 2.74666i | −0.294473 | − | 0.510042i | 0.680389 | − | 0.732851i | \(-0.261811\pi\) |
−0.974862 | + | 0.222809i | \(0.928477\pi\) | |||||||
\(30\) | 0.585786 | + | 3.82843i | 0.106949 | + | 0.698972i | ||||
\(31\) | 6.24264 | 1.12121 | 0.560606 | − | 0.828083i | \(-0.310568\pi\) | ||||
0.560606 | + | 0.828083i | \(0.310568\pi\) | |||||||
\(32\) | −0.258819 | + | 0.965926i | −0.0457532 | + | 0.170753i | ||||
\(33\) | 0.0272661 | + | 0.295919i | 0.00474642 | + | 0.0515130i | ||||
\(34\) | −1.94218 | + | 1.12132i | −0.333082 | + | 0.192305i | ||||
\(35\) | −3.69615 | − | 5.59808i | −0.624764 | − | 0.946248i | ||||
\(36\) | 2.28024 | − | 1.94949i | 0.380040 | − | 0.324915i | ||||
\(37\) | −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 | 0.688963 | − | 0.724797i | \(-0.258066\pi\) |
−0.283211 | + | 0.959058i | \(0.591400\pi\) | |||||||
\(42\) | −2.17423 | + | 4.71940i | −0.335492 | + | 0.728219i | ||||
\(43\) | −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 | ||||
\(45\) | 0.121320 | − | 6.70711i | 0.0180854 | − | 0.999836i | ||||
\(46\) | 3.00000 | 0.442326 | ||||||||
\(47\) | −1.67851 | + | 6.26430i | −0.244836 | + | 0.913742i | 0.728629 | + | 0.684909i | \(0.240158\pi\) |
−0.973466 | + | 0.228834i | \(0.926509\pi\) | |||||||
\(48\) | 0.724745 | − | 1.57313i | 0.104608 | − | 0.227062i | ||||
\(49\) | − | 2.00000i | − | 0.285714i | ||||||
\(50\) | 4.94975 | + | 0.707107i | 0.700000 | + | 0.100000i | ||||
\(51\) | 3.64394 | − | 1.34536i | 0.510254 | − | 0.188388i | ||||
\(52\) | 0.732051 | + | 2.73205i | 0.101517 | + | 0.378867i | ||||
\(53\) | 9.16208 | + | 2.45497i | 1.25851 | + | 0.337216i | 0.825618 | − | 0.564230i | \(-0.190827\pi\) |
0.432891 | + | 0.901446i | \(0.357494\pi\) | |||||||
\(54\) | −4.46360 | + | 2.66012i | −0.607420 | + | 0.361997i | ||||
\(55\) | 0.375860 | + | 0.0769140i | 0.0506809 | + | 0.0103711i | ||||
\(56\) | 3.00000i | 0.400892i | ||||||||
\(57\) | −7.54782 | − | 0.174235i | −0.999734 | − | 0.0230779i | ||||
\(58\) | 2.24264 | + | 2.24264i | 0.294473 | + | 0.294473i | ||||
\(59\) | 2.82843 | − | 4.89898i | 0.368230 | − | 0.637793i | −0.621059 | − | 0.783764i | \(-0.713297\pi\) |
0.989289 | + | 0.145971i | \(0.0466306\pi\) | |||||||
\(60\) | −1.55670 | − | 3.54636i | −0.200969 | − | 0.457834i | ||||
\(61\) | −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 | ||||
\(63\) | 5.09393 | − | 7.41970i | 0.641775 | − | 0.934794i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 5.65685 | + | 2.82843i | 0.701646 | + | 0.350823i | ||||
\(66\) | −0.102927 | − | 0.278779i | −0.0126694 | − | 0.0343154i | ||||
\(67\) | 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 | 0.933040 | − | 0.359772i | \(-0.117145\pi\) |
0.154949 | + | 0.987922i | \(0.450479\pi\) | |||||||
\(72\) | −1.69798 | + | 2.47323i | −0.200108 | + | 0.291473i | ||||
\(73\) | −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 | ||||
\(75\) | −8.24264 | − | 2.65685i | −0.951778 | − | 0.306787i | ||||
\(76\) | −4.00000 | + | 1.73205i | −0.458831 | + | 0.198680i | ||||
\(77\) | 0.363961 | + | 0.363961i | 0.0414772 | + | 0.0414772i | ||||
\(78\) | −0.449490 | − | 4.87832i | −0.0508947 | − | 0.552360i | ||||
\(79\) | 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 | ||||
\(81\) | 8.39898 | − | 3.23375i | 0.933220 | − | 0.359306i | ||||
\(82\) | −2.89778 | − | 0.776457i | −0.320006 | − | 0.0857453i | ||||
\(83\) | 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 | ||||
\(85\) | −0.300457 | − | 5.00569i | −0.0325891 | − | 0.542943i | ||||
\(86\) | 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 | −0.988169 | − | 0.153368i | \(-0.950988\pi\) |
0.361264 | − | 0.932464i | \(-0.382345\pi\) | |||||||
\(90\) | 1.61874 | + | 6.50997i | 0.170630 | + | 0.686211i | ||||
\(91\) | 4.24264 | + | 7.34847i | 0.444750 | + | 0.770329i | ||||
\(92\) | −2.89778 | + | 0.776457i | −0.302114 | + | 0.0809513i | ||||
\(93\) | 10.7670 | − | 0.992072i | 1.11648 | − | 0.102873i | ||||
\(94\) | − | 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 | ||||
\(99\) | 0.0940542 | + | 0.506052i | 0.00945280 | + | 0.0508602i | ||||
\(100\) | −4.96410 | + | 0.598076i | −0.496410 | + | 0.0598076i | ||||
\(101\) | 14.9941 | − | 8.65685i | 1.49197 | − | 0.861389i | 0.492012 | − | 0.870588i | \(-0.336262\pi\) |
0.999958 | + | 0.00919913i | \(0.00292822\pi\) | |||||||
\(102\) | −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 | ||||
\(105\) | −7.26456 | − | 9.06787i | −0.708948 | − | 0.884933i | ||||
\(106\) | −9.48528 | −0.921292 | ||||||||
\(107\) | −6.00000 | − | 6.00000i | −0.580042 | − | 0.580042i | 0.354873 | − | 0.934915i | \(-0.384524\pi\) |
−0.934915 | + | 0.354873i | \(0.884524\pi\) | |||||||
\(108\) | 3.62302 | − | 3.72474i | 0.348625 | − | 0.358414i | ||||
\(109\) | −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 | ||||
\(111\) | −3.32162 | + | 3.99585i | −0.315274 | + | 0.379270i | ||||
\(112\) | −0.776457 | − | 2.89778i | −0.0733683 | − | 0.273814i | ||||
\(113\) | −14.1421 | + | 14.1421i | −1.33038 | + | 1.33038i | −0.425352 | + | 0.905028i | \(0.639850\pi\) |
−0.905028 | + | 0.425352i | \(0.860150\pi\) | |||||||
\(114\) | 7.33573 | − | 1.78522i | 0.687054 | − | 0.167201i | ||||
\(115\) | −3.00000 | + | 6.00000i | −0.279751 | + | 0.559503i | ||||
\(116\) | −2.74666 | − | 1.58579i | −0.255021 | − | 0.147237i | ||||
\(117\) | −0.661498 | + | 8.45946i | −0.0611556 | + | 0.782077i | ||||
\(118\) | −1.46410 | + | 5.46410i | −0.134781 | + | 0.503011i | ||||
\(119\) | 3.36396 | − | 5.82655i | 0.308374 | − | 0.534119i | ||||
\(120\) | 2.42152 | + | 3.02262i | 0.221053 | + | 0.275926i | ||||
\(121\) | 10.9706 | 0.997324 | ||||||||
\(122\) | 1.58579 | + | 1.58579i | 0.143570 | + | 0.143570i | ||||
\(123\) | 4.71940 | + | 2.17423i | 0.425534 | + | 0.196044i | ||||
\(124\) | 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 | ||||
\(129\) | −6.89363 | + | 2.54516i | −0.606950 | + | 0.224089i | ||||
\(130\) | −6.19615 | − | 1.26795i | −0.543439 | − | 0.111207i | ||||
\(131\) | −12.9904 | − | 7.50000i | −1.13497 | − | 0.655278i | −0.189794 | − | 0.981824i | \(-0.560782\pi\) |
−0.945181 | + | 0.326546i | \(0.894115\pi\) | |||||||
\(132\) | 0.171573 | + | 0.242641i | 0.0149335 | + | 0.0211192i | ||||
\(133\) | −10.2462 | + | 8.12493i | −0.888462 | + | 0.704520i | ||||
\(134\) | −5.65685 | −0.488678 | ||||||||
\(135\) | −0.856638 | − | 11.5873i | −0.0737276 | − | 0.997278i | ||||
\(136\) | −1.12132 | + | 1.94218i | −0.0961524 | + | 0.166541i | ||||
\(137\) | −5.30198 | + | 19.7873i | −0.452979 | + | 1.69054i | 0.240984 | + | 0.970529i | \(0.422530\pi\) |
−0.693963 | + | 0.720011i | \(0.744137\pi\) | |||||||
\(138\) | 5.17423 | − | 0.476756i | 0.440460 | − | 0.0405842i | ||||
\(139\) | −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 | ||||
\(147\) | −0.317837 | − | 3.44949i | −0.0262148 | − | 0.284509i | ||||
\(148\) | −0.776457 | + | 2.89778i | −0.0638244 | + | 0.238196i | ||||
\(149\) | −5.65685 | + | 9.79796i | −0.463428 | + | 0.802680i | −0.999129 | − | 0.0417274i | \(-0.986714\pi\) |
0.535701 | + | 0.844407i | \(0.320047\pi\) | |||||||
\(150\) | 8.64942 | + | 0.432972i | 0.706223 | + | 0.0353520i | ||||
\(151\) | −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 | ||||
\(153\) | 6.07107 | − | 2.89949i | 0.490817 | − | 0.234410i | ||||
\(154\) | −0.445759 | − | 0.257359i | −0.0359203 | − | 0.0207386i | ||||
\(155\) | 2.79850 | − | 13.6756i | 0.224781 | − | 1.09845i | ||||
\(156\) | 1.69677 | + | 4.59575i | 0.135851 | + | 0.367955i | ||||
\(157\) | 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 | ||||
\(162\) | −7.27583 | + | 5.29738i | −0.571644 | + | 0.416201i | ||||
\(163\) | −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 | ||||||||
\(165\) | 0.660485 | + | 0.0729260i | 0.0514187 | + | 0.00567728i | ||||
\(166\) | −2.12132 | + | 3.67423i | −0.164646 | + | 0.285176i | ||||
\(167\) | −6.07844 | + | 22.6850i | −0.470364 | + | 1.75542i | 0.168101 | + | 0.985770i | \(0.446237\pi\) |
−0.638464 | + | 0.769651i | \(0.720430\pi\) | |||||||
\(168\) | 0.476756 | + | 5.17423i | 0.0367825 | + | 0.399201i | ||||
\(169\) | 4.33013 | + | 2.50000i | 0.333087 | + | 0.192308i | ||||
\(170\) | 1.58579 | + | 4.75736i | 0.121624 | + | 0.364873i | ||||
\(171\) | −13.0458 | + | 0.898979i | −0.997634 | + | 0.0687467i | ||||
\(172\) | −3.00000 | + | 3.00000i | −0.228748 | + | 0.228748i | ||||
\(173\) | 5.16876 | + | 19.2901i | 0.392974 | + | 1.46660i | 0.825204 | + | 0.564835i | \(0.191060\pi\) |
−0.432230 | + | 0.901763i | \(0.642273\pi\) | |||||||
\(174\) | 4.22438 | + | 3.51159i | 0.320249 | + | 0.266213i | ||||
\(175\) | −13.9205 | + | 5.58750i | −1.05229 | + | 0.422376i | ||||
\(176\) | 0.148586 | + | 0.0857864i | 0.0112001 | + | 0.00646640i | ||||
\(177\) | 4.09978 | − | 8.89898i | 0.308158 | − | 0.668888i | ||||
\(178\) | 8.36396 | + | 8.36396i | 0.626905 | + | 0.626905i | ||||
\(179\) | 9.34315 | 0.698340 | 0.349170 | − | 0.937059i | \(-0.386464\pi\) | ||||
0.349170 | + | 0.937059i | \(0.386464\pi\) | |||||||
\(180\) | −3.24849 | − | 5.86919i | −0.242128 | − | 0.437463i | ||||
\(181\) | −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 | ||||
\(183\) | −2.24264 | − | 3.17157i | −0.165781 | − | 0.234449i | ||||
\(184\) | 2.59808 | − | 1.50000i | 0.191533 | − | 0.110581i | ||||
\(185\) | 3.69615 | + | 5.59808i | 0.271747 | + | 0.411579i | ||||
\(186\) | −10.1433 | + | 3.74496i | −0.743744 | + | 0.274594i | ||||
\(187\) | 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 | \(-0.874898\pi\) | ||
0.923757 | − | 0.382980i | \(-0.125102\pi\) | |||||||
\(192\) | −0.158919 | − | 1.72474i | −0.0114690 | − | 0.124473i | ||||
\(193\) | 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 | ||||
\(195\) | 10.2061 | + | 3.97934i | 0.730875 | + | 0.284966i | ||||
\(196\) | −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 | \(-0.498227\pi\) |
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 | ||||
\(204\) | 2.48307 | − | 2.98709i | 0.173849 | − | 0.209138i | ||||
\(205\) | 4.45069 | − | 5.01910i | 0.310850 | − | 0.350549i | ||||
\(206\) | 2.59808 | + | 1.50000i | 0.181017 | + | 0.104510i | ||||
\(207\) | −8.97261 | − | 0.701625i | −0.623639 | − | 0.0487663i | ||||
\(208\) | 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 | −0.919755 | − | 0.392493i | \(-0.871613\pi\) |
0.799787 | + | 0.600284i | \(0.204946\pi\) | |||||||
\(212\) | 9.16208 | − | 2.45497i | 0.629254 | − | 0.168608i | ||||
\(213\) | 16.6528 | + | 7.67199i | 1.14103 | + | 0.525676i | ||||
\(214\) | 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 | ||||
\(219\) | −26.3918 | + | 9.74397i | −1.78339 | + | 0.658436i | ||||
\(220\) | 0.363961 | − | 0.121320i | 0.0245382 | − | 0.00817942i | ||||
\(221\) | 6.34315i | 0.426686i | ||||||||
\(222\) | 2.17423 | − | 4.71940i | 0.145925 | − | 0.316745i | ||||
\(223\) | 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 | ||||
\(225\) | −14.6387 | − | 3.27249i | −0.975912 | − | 0.218166i | ||||
\(226\) | 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 | \(-0.525932\pi\) | |||||||
\(228\) | −6.62372 | + | 3.62302i | −0.438667 | + | 0.239940i | ||||
\(229\) | 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 | ||||
\(231\) | 0.685580 | + | 0.569900i | 0.0451079 | + | 0.0374966i | ||||
\(232\) | 3.06350 | + | 0.820863i | 0.201129 | + | 0.0538923i | ||||
\(233\) | −2.71379 | − | 10.1280i | −0.177786 | − | 0.663508i | −0.996060 | − | 0.0886791i | \(-0.971735\pi\) |
0.818274 | − | 0.574828i | \(-0.194931\pi\) | |||||||
\(234\) | −1.55051 | − | 8.34242i | −0.101360 | − | 0.545361i | ||||
\(235\) | 12.9706 | + | 6.48528i | 0.846106 | + | 0.423053i | ||||
\(236\) | − | 5.65685i | − | 0.368230i | ||||||
\(237\) | 10.2022 | + | 4.70017i | 0.662704 | + | 0.305309i | ||||
\(238\) | −1.74131 | + | 6.49867i | −0.112873 | + | 0.421246i | ||||
\(239\) | 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 | 0.873735 | − | 0.486403i | \(-0.161691\pi\) |
−0.858105 | + | 0.513475i | \(0.828358\pi\) | |||||||
\(242\) | −10.5967 | + | 2.83939i | −0.681185 | + | 0.182523i | ||||
\(243\) | 13.9722 | − | 6.91215i | 0.896317 | − | 0.443415i | ||||
\(244\) | −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 | ||||
\(249\) | 4.69748 | − | 5.65099i | 0.297691 | − | 0.358117i | ||||
\(250\) | 3.76795 | − | 10.5263i | 0.238306 | − | 0.665740i | ||||
\(251\) | 14.9941 | − | 8.65685i | 0.946420 | − | 0.546416i | 0.0544529 | − | 0.998516i | \(-0.482659\pi\) |
0.891967 | + | 0.452101i | \(0.149325\pi\) | |||||||
\(252\) | 0.701625 | − | 8.97261i | 0.0441982 | − | 0.565221i | ||||
\(253\) | 0.133219 | − | 0.497180i | 0.00837541 | − | 0.0312574i | ||||
\(254\) | −2.65685 | −0.166706 | ||||||||
\(255\) | −1.31371 | − | 8.58579i | −0.0822676 | − | 0.537663i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −2.13335 | + | 7.96178i | −0.133075 | + | 0.496642i | −0.999998 | − | 0.00179903i | \(-0.999427\pi\) |
0.866924 | + | 0.498441i | \(0.166094\pi\) | |||||||
\(258\) | 6.00000 | − | 4.24264i | 0.373544 | − | 0.264135i | ||||
\(259\) | 9.00000i | 0.559233i | ||||||||
\(260\) | 6.31319 | − | 0.378937i | 0.391528 | − | 0.0235007i | ||||
\(261\) | −6.18295 | − | 7.23194i | −0.382715 | − | 0.447646i | ||||
\(262\) | 14.4889 | + | 3.88229i | 0.895126 | + | 0.239848i | ||||
\(263\) | 0.384419 | + | 1.43467i | 0.0237043 | + | 0.0884656i | 0.976765 | − | 0.214315i | \(-0.0687518\pi\) |
−0.953060 | + | 0.302780i | \(0.902085\pi\) | |||||||
\(264\) | −0.228527 | − | 0.189967i | −0.0140648 | − | 0.0116916i | ||||
\(265\) | 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 | ||||
\(268\) | 5.46410 | − | 1.46410i | 0.333773 | − | 0.0894342i | ||||
\(269\) | −5.46447 | + | 9.46473i | −0.333174 | + | 0.577075i | −0.983132 | − | 0.182895i | \(-0.941453\pi\) |
0.649958 | + | 0.759970i | \(0.274786\pi\) | |||||||
\(270\) | 3.82647 | + | 10.9708i | 0.232872 | + | 0.667661i | ||||
\(271\) | 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 | ||||
\(273\) | 8.48528 | + | 12.0000i | 0.513553 | + | 0.726273i | ||||
\(274\) | − | 20.4853i | − | 1.23756i | ||||||
\(275\) | 0.336987 | − | 0.788905i | 0.0203211 | − | 0.0475728i | ||||
\(276\) | −4.87453 | + | 1.79970i | −0.293412 | + | 0.108329i | ||||
\(277\) | 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 | ||||
\(279\) | 18.4126 | − | 3.42214i | 1.10233 | − | 0.204878i | ||||
\(280\) | 6.57201 | + | 1.34486i | 0.392753 | + | 0.0803709i | ||||
\(281\) | −5.34474 | + | 3.08579i | −0.318840 | + | 0.184083i | −0.650876 | − | 0.759184i | \(-0.725598\pi\) |
0.332035 | + | 0.943267i | \(0.392265\pi\) | |||||||
\(282\) | −1.03063 | − | 11.1855i | −0.0613732 | − | 0.666084i | ||||
\(283\) | 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 | ||||||||
\(285\) | −3.76529 | + | 16.4567i | −0.223036 | + | 0.974810i | ||||
\(286\) | 0.485281 | 0.0286953 | ||||||||
\(287\) | 8.69333 | − | 2.32937i | 0.513151 | − | 0.137498i | ||||
\(288\) | −0.233875 | + | 2.99087i | −0.0137812 | + | 0.176239i | ||||
\(289\) | −10.3668 | + | 5.98528i | −0.609812 | + | 0.352075i | ||||
\(290\) | 5.91824 | − | 3.90754i | 0.347531 | − | 0.229459i | ||||
\(291\) | 8.68973 | + | 23.5363i | 0.509401 | + | 1.37972i | ||||
\(292\) | −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 | \(0.975880\pi\) | |||||||
\(294\) | 1.19980 | + | 3.24969i | 0.0699738 | + | 0.189526i | ||||
\(295\) | −9.46410 | − | 8.39230i | −0.551021 | − | 0.488619i | ||||
\(296\) | − | 3.00000i | − | 0.174371i | ||||||
\(297\) | 0.242641 | + | 0.857864i | 0.0140794 | + | 0.0497783i | ||||
\(298\) | 2.92820 | − | 10.9282i | 0.169626 | − | 0.633054i | ||||
\(299\) | 4.24264 | − | 7.34847i | 0.245358 | − | 0.424973i | ||||
\(300\) | −8.46676 | + | 1.82042i | −0.488829 | + | 0.105102i | ||||
\(301\) | −6.36396 | + | 11.0227i | −0.366813 | + | 0.635338i | ||||
\(302\) | 10.3624 | − | 2.77659i | 0.596288 | − | 0.159775i | ||||
\(303\) | 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 | ||||
\(306\) | −5.11376 | + | 4.37201i | −0.292334 | + | 0.249931i | ||||
\(307\) | −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 | ||||
\(309\) | −3.99585 | − | 3.32162i | −0.227316 | − | 0.188960i | ||||
\(310\) | 0.836355 | + | 13.9339i | 0.0475018 | + | 0.791392i | ||||
\(311\) | − | 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 | ||||
\(313\) | 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 | ||||
\(315\) | −13.9706 | − | 14.4853i | −0.787152 | − | 0.816153i | ||||
\(316\) | 6.48528 | 0.364826 | ||||||||
\(317\) | −7.36491 | + | 27.4862i | −0.413655 | + | 1.54378i | 0.373860 | + | 0.927485i | \(0.378034\pi\) |
−0.787515 | + | 0.616296i | \(0.788633\pi\) | |||||||
\(318\) | −16.3597 | + | 1.50739i | −0.917406 | + | 0.0845301i | ||||
\(319\) | 0.471253 | − | 0.272078i | 0.0263851 | − | 0.0152334i | ||||
\(320\) | −2.19067 | − | 0.448288i | −0.122462 | − | 0.0250600i | ||||
\(321\) | −11.3020 | − | 9.39496i | −0.630815 | − | 0.524375i | ||||
\(322\) | 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 | ||||
\(327\) | −3.52797 | − | 1.62534i | −0.195097 | − | 0.0898816i | ||||
\(328\) | −2.89778 | + | 0.776457i | −0.160003 | + | 0.0428727i | ||||
\(329\) | 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 | \(0.611760\pi\) | |||||||
\(332\) | 1.09808 | − | 4.09808i | 0.0602648 | − | 0.224911i | ||||
\(333\) | −5.09393 | + | 7.41970i | −0.279146 | + | 0.406597i | ||||
\(334\) | − | 23.4853i | − | 1.28506i | ||||||
\(335\) | 5.65685 | − | 11.3137i | 0.309067 | − | 0.618134i | ||||
\(336\) | −1.79970 | − | 4.87453i | −0.0981818 | − | 0.265928i | ||||
\(337\) | 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 | ||||
\(339\) | −22.1441 | + | 26.6390i | −1.20270 | + | 1.44683i | ||||
\(340\) | −2.76305 | − | 4.18482i | −0.149847 | − | 0.226954i | ||||
\(341\) | 1.07107i | 0.0580016i | ||||||||
\(342\) | 12.3686 | − | 4.24484i | 0.668815 | − | 0.229535i | ||||
\(343\) | 10.6066 | + | 10.6066i | 0.572703 | + | 0.572703i | ||||
\(344\) | 2.12132 | − | 3.67423i | 0.114374 | − | 0.198101i | ||||
\(345\) | −4.22072 | + | 10.8252i | −0.227236 | + | 0.582811i | ||||
\(346\) | −9.98528 | − | 17.2950i | −0.536812 | − | 0.929786i | ||||
\(347\) | 10.5967 | − | 2.83939i | 0.568863 | − | 0.152426i | 0.0370881 | − | 0.999312i | \(-0.488192\pi\) |
0.531775 | + | 0.846886i | \(0.321525\pi\) | |||||||
\(348\) | −4.98930 | − | 2.29858i | −0.267455 | − | 0.123217i | ||||
\(349\) | 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 | ||||
\(351\) | 0.203449 | + | 14.6955i | 0.0108593 | + | 0.784389i | ||||
\(352\) | −0.165727 | − | 0.0444063i | −0.00883326 | − | 0.00236687i | ||||
\(353\) | 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 | ||||
\(355\) | 15.7047 | − | 17.7104i | 0.833518 | − | 0.939969i | ||||
\(356\) | −10.2437 | − | 5.91421i | −0.542916 | − | 0.313453i | ||||
\(357\) | 4.87603 | − | 10.5839i | 0.258067 | − | 0.560160i | ||||
\(358\) | −9.02479 | + | 2.41818i | −0.476975 | + | 0.127805i | ||||
\(359\) | 4.60660 | − | 7.97887i | 0.243127 | − | 0.421109i | −0.718476 | − | 0.695551i | \(-0.755160\pi\) |
0.961603 | + | 0.274443i | \(0.0884934\pi\) | |||||||
\(360\) | 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 | ||||
\(363\) | 18.9214 | − | 1.74343i | 0.993117 | − | 0.0915062i | ||||
\(364\) | 7.34847 | + | 4.24264i | 0.385164 | + | 0.222375i | ||||
\(365\) | 2.17610 | + | 36.2544i | 0.113902 | + | 1.89764i | ||||
\(366\) | 2.98709 | + | 2.48307i | 0.156138 | + | 0.129792i | ||||
\(367\) | −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 | ||||
\(372\) | 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 | ||||
\(375\) | −9.51537 | + | 16.8659i | −0.491371 | + | 0.870950i | ||||
\(376\) | −3.24264 | − | 5.61642i | −0.167226 | − | 0.289645i | ||||
\(377\) | 8.66490 | − | 2.32175i | 0.446265 | − | 0.119576i | ||||
\(378\) | −3.82577 | + | 15.1117i | −0.196776 | + | 0.777262i | ||||
\(379\) | − | 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 | \(-0.799130\pi\) |
0.404239 | − | 0.914653i | \(-0.367536\pi\) | |||||||
\(384\) | 0.599900 | + | 1.62484i | 0.0306135 | + | 0.0829175i | ||||
\(385\) | 0.960478 | − | 0.634159i | 0.0489505 | − | 0.0323198i | ||||
\(386\) | −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 | 0.921715 | − | 0.387868i | \(-0.126789\pi\) |
−0.796761 | + | 0.604294i | \(0.793455\pi\) | |||||||
\(390\) | −10.8883 | − | 1.20220i | −0.551350 | − | 0.0608760i | ||||
\(391\) | −6.72792 | −0.340246 | ||||||||
\(392\) | 1.41421 | + | 1.41421i | 0.0714286 | + | 0.0714286i | ||||
\(393\) | −23.5970 | − | 10.8712i | −1.19031 | − | 0.548378i | ||||
\(394\) | 7.37396 | + | 4.25736i | 0.371495 | + | 0.214483i | ||||
\(395\) | 9.62133 | − | 10.8501i | 0.484102 | − | 0.545927i | ||||
\(396\) | 0.334480 | + | 0.391227i | 0.0168082 | + | 0.0196599i | ||||
\(397\) | −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 | ||||
\(399\) | −16.3810 | + | 15.6417i | −0.820074 | + | 0.783067i | ||||
\(400\) | −4.00000 | + | 3.00000i | −0.200000 | + | 0.150000i | ||||
\(401\) | 29.9882 | + | 17.3137i | 1.49754 | + | 0.864605i | 0.999996 | − | 0.00283317i | \(-0.000901827\pi\) |
0.497544 | + | 0.867439i | \(0.334235\pi\) | |||||||
\(402\) | −9.75663 | + | 0.898979i | −0.486616 | + | 0.0448370i | ||||
\(403\) | −4.56993 | + | 17.0552i | −0.227644 | + | 0.849581i | ||||
\(404\) | 8.65685 | − | 14.9941i | 0.430695 | − | 0.745985i | ||||
\(405\) | −3.31892 | − | 19.8490i | −0.164919 | − | 0.986307i | ||||
\(406\) | 9.51472 | 0.472208 | ||||||||
\(407\) | −0.363961 | − | 0.363961i | −0.0180409 | − | 0.0180409i | ||||
\(408\) | −1.62534 | + | 3.52797i | −0.0804664 | + | 0.174661i | ||||
\(409\) | −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 | ||||
\(414\) | 8.84847 | − | 1.64456i | 0.434879 | − | 0.0808259i | ||||
\(415\) | −5.22715 | − | 7.91688i | −0.256591 | − | 0.388624i | ||||
\(416\) | −2.44949 | − | 1.41421i | −0.120096 | − | 0.0693375i | ||||
\(417\) | −19.7990 | + | 14.0000i | −0.969561 | + | 0.685583i | ||||
\(418\) | 0.109422 | + | 0.739821i | 0.00535199 | + | 0.0361858i | ||||
\(419\) | −29.8284 | −1.45721 | −0.728607 | − | 0.684932i | \(-0.759832\pi\) | ||||
−0.728607 | + | 0.684932i | \(0.759832\pi\) | |||||||
\(420\) | −10.8252 | − | 4.22072i | −0.528217 | − | 0.205950i | ||||
\(421\) | 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 | ||||
\(423\) | −1.51675 | + | 19.3966i | −0.0737467 | + | 0.943097i | ||||
\(424\) | −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 | −0.717056 | − | 0.697015i | \(-0.754511\pi\) |
0.245105 | + | 0.969497i | \(0.421178\pi\) | |||||||
\(432\) | 1.27526 | − | 5.03723i | 0.0613557 | − | 0.242354i | ||||
\(433\) | 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 | ||||
\(435\) | −11.2476 | + | 4.93718i | −0.539279 | + | 0.236719i | ||||
\(436\) | −2.24264 | −0.107403 | ||||||||
\(437\) | 12.1595 | + | 4.81105i | 0.581669 | + | 0.230144i | ||||
\(438\) | 22.9706 | − | 16.2426i | 1.09758 | − | 0.776103i | ||||
\(439\) | 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 | ||||
\(441\) | −1.09638 | − | 5.89898i | −0.0522084 | − | 0.280904i | ||||
\(442\) | −1.64173 | − | 6.12701i | −0.0780890 | − | 0.291432i | ||||
\(443\) | −33.0759 | − | 8.86265i | −1.57148 | − | 0.421077i | −0.635205 | − | 0.772343i | \(-0.719085\pi\) |
−0.936276 | + | 0.351266i | \(0.885751\pi\) | |||||||
\(444\) | −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 | ||||
\(447\) | −8.19955 | + | 17.7980i | −0.387826 | + | 0.841815i | ||||
\(448\) | −2.12132 | − | 2.12132i | −0.100223 | − | 0.100223i | ||||
\(449\) | −17.8284 | −0.841375 | −0.420688 | − | 0.907205i | \(-0.638211\pi\) | ||||
−0.420688 | + | 0.907205i | \(0.638211\pi\) | |||||||
\(450\) | 14.9869 | − | 0.627789i | 0.706487 | − | 0.0295942i | ||||
\(451\) | −0.257359 | + | 0.445759i | −0.0121186 | + | 0.0209900i | ||||
\(452\) | −5.17638 | + | 19.3185i | −0.243476 | + | 0.908667i | ||||
\(453\) | −18.5029 | + | 1.70487i | −0.869343 | + | 0.0801016i | ||||
\(454\) | 19.8931 | + | 11.4853i | 0.933629 | + | 0.539031i | ||||
\(455\) | 18.0000 | − | 6.00000i | 0.843853 | − | 0.281284i | ||||
\(456\) | 5.46032 | − | 5.21391i | 0.255703 | − | 0.244164i | ||||
\(457\) | −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 | ||||
\(459\) | 10.0103 | − | 5.96569i | 0.467239 | − | 0.278455i | ||||
\(460\) | 0.401924 | + | 6.69615i | 0.0187398 | + | 0.312210i | ||||
\(461\) | −21.7482 | − | 12.5563i | −1.01292 | − | 0.584807i | −0.100872 | − | 0.994899i | \(-0.532163\pi\) |
−0.912044 | + | 0.410092i | \(0.865497\pi\) | |||||||
\(462\) | −0.809720 | − | 0.373040i | −0.0376716 | − | 0.0173554i | ||||
\(463\) | −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 | ||||||||
\(465\) | 2.65339 | − | 24.0316i | 0.123048 | − | 1.11444i | ||||
\(466\) | 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 | ||||
\(470\) | −14.2071 | − | 2.90727i | −0.655325 | − | 0.134102i | ||||
\(471\) | 7.09588 | + | 19.2194i | 0.326961 | + | 0.885581i | ||||
\(472\) | 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 | ||||||
\(477\) | 28.3692 | + | 2.21837i | 1.29894 | + | 0.101572i | ||||
\(478\) | −0.662907 | + | 0.177625i | −0.0303206 | + | 0.00812439i | ||||
\(479\) | −15.1924 | − | 26.3140i | −0.694158 | − | 1.20232i | −0.970464 | − | 0.241247i | \(-0.922444\pi\) |
0.276306 | − | 0.961070i | \(-0.410890\pi\) | |||||||
\(480\) | 3.60841 | + | 1.40691i | 0.164701 | + | 0.0642163i | ||||
\(481\) | −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 | ||||
\(485\) | 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 | ||||
\(489\) | −26.8283 | − | 22.3015i | −1.21322 | − | 1.00851i | ||||
\(490\) | 4.46410 | − | 0.267949i | 0.201668 | − | 0.0121047i | ||||
\(491\) | −5.93908 | − | 3.42893i | −0.268027 | − | 0.154746i | 0.359964 | − | 0.932966i | \(-0.382789\pi\) |
−0.627991 | + | 0.778221i | \(0.716122\pi\) | |||||||
\(492\) | 5.17423 | − | 0.476756i | 0.233273 | − | 0.0214938i | ||||
\(493\) | −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 | ||||
\(497\) | 30.6753 | − | 8.21941i | 1.37597 | − | 0.368691i | ||||
\(498\) | −3.07483 | + | 6.67423i | −0.137787 | + | 0.299080i | ||||
\(499\) | 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 | 0.624123 | − | 0.781326i | \(-0.285457\pi\) |
0.149843 | + | 0.988710i | \(0.452123\pi\) | |||||||
\(504\) | 1.64456 | + | 8.84847i | 0.0732547 | + | 0.394142i | ||||
\(505\) | −12.2426 | − | 36.7279i | −0.544790 | − | 1.63437i | ||||
\(506\) | 0.514719i | 0.0228820i | ||||||||
\(507\) | 7.86566 | + | 3.62372i | 0.349326 | + | 0.160935i | ||||
\(508\) | 2.56632 | − | 0.687644i | 0.113862 | − | 0.0305093i | ||||
\(509\) | 6.36396 | + | 11.0227i | 0.282078 | + | 0.488573i | 0.971896 | − | 0.235409i | \(-0.0756431\pi\) |
−0.689819 | + | 0.723982i | \(0.742310\pi\) | |||||||
\(510\) | 3.49111 | + | 7.95322i | 0.154589 | + | 0.352175i | ||||
\(511\) | −24.3640 | + | 42.1996i | −1.07780 | + | 1.86680i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | −22.3577 | + | 3.62372i | −0.987118 | + | 0.159991i | ||||
\(514\) | − | 8.24264i | − | 0.363567i | ||||||
\(515\) | −5.59808 | + | 3.69615i | −0.246681 | + | 0.162872i | ||||
\(516\) | −4.69748 | + | 5.65099i | −0.206795 | + | 0.248771i | ||||
\(517\) | −1.07478 | − | 0.287988i | −0.0472690 | − | 0.0126657i | ||||
\(518\) | −2.32937 | − | 8.69333i | −0.102347 | − | 0.381963i | ||||
\(519\) | 11.9803 | + | 32.4491i | 0.525879 | + | 1.42436i | ||||
\(520\) | −6.00000 | + | 2.00000i | −0.263117 | + | 0.0877058i | ||||
\(521\) | − | 35.3137i | − | 1.54712i | −0.633722 | − | 0.773561i | \(-0.718474\pi\) | ||
0.633722 | − | 0.773561i | \(-0.281526\pi\) | |||||||
\(522\) | 7.84403 | + | 5.38526i | 0.343324 | + | 0.235706i | ||||
\(523\) | −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 | ||||||||
\(525\) | −23.1213 | + | 11.8492i | −1.00910 | + | 0.517143i | ||||
\(526\) | −0.742641 | − | 1.28629i | −0.0323807 | − | 0.0560850i | ||||
\(527\) | 13.5230 | − | 3.62347i | 0.589069 | − | 0.157841i | ||||
\(528\) | 0.269907 | + | 0.124347i | 0.0117462 | + | 0.00541149i | ||||
\(529\) | −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 | ||||
\(534\) | 15.7549 | + | 13.0965i | 0.681781 | + | 0.566741i | ||||
\(535\) | −15.8338 | + | 10.4543i | −0.684553 | + | 0.451979i | ||||
\(536\) | −4.89898 | + | 2.82843i | −0.211604 | + | 0.122169i | ||||
\(537\) | 16.1145 | − | 1.48480i | 0.695394 | − | 0.0640738i | ||||
\(538\) | 2.82862 | − | 10.5565i | 0.121950 | − | 0.455125i | ||||
\(539\) | 0.343146 | 0.0147803 | ||||||||
\(540\) | −6.53553 | − | 9.60660i | −0.281245 | − | 0.413402i | ||||
\(541\) | −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 | ||||
\(543\) | −14.4853 | − | 20.4853i | −0.621623 | − | 0.879108i | ||||
\(544\) | 2.24264i | 0.0961524i | ||||||||
\(545\) | −3.32710 | + | 3.75201i | −0.142517 | + | 0.160718i | ||||
\(546\) | −11.3020 | − | 9.39496i | −0.483680 | − | 0.402067i | ||||
\(547\) | −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 | ||||
\(549\) | −4.37201 | − | 5.11376i | −0.186593 | − | 0.218250i | ||||
\(550\) | −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 | ||||
\(553\) | 18.7929 | − | 5.03554i | 0.799155 | − | 0.214133i | ||||
\(554\) | −14.4853 | + | 25.0892i | −0.615421 | + | 1.06594i | ||||
\(555\) | 7.26456 | + | 9.06787i | 0.308363 | + | 0.384909i | ||||
\(556\) | −7.00000 | + | 12.1244i | −0.296866 | + | 0.514187i | ||||
\(557\) | 3.61585 | − | 13.4945i | 0.153208 | − | 0.571781i | −0.846044 | − | 0.533114i | \(-0.821022\pi\) |
0.999252 | − | 0.0386680i | \(-0.0123115\pi\) | |||||||
\(558\) | −16.8995 | + | 8.07107i | −0.715413 | + | 0.341676i | ||||
\(559\) | − | 12.0000i | − | 0.507546i | ||||||
\(560\) | −6.69615 | + | 0.401924i | −0.282964 | + | 0.0169844i | ||||
\(561\) | 0.230827 | + | 0.625202i | 0.00974554 | + | 0.0263960i | ||||
\(562\) | 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 | \(-0.0503919\pi\) | |||||||
\(564\) | 3.89052 | + | 10.5376i | 0.163821 | + | 0.443712i | ||||
\(565\) | 24.6410 | + | 37.3205i | 1.03666 | + | 1.57009i | ||||
\(566\) | −10.0951 | + | 5.82843i | −0.424330 | + | 0.244987i | ||||
\(567\) | 10.9571 | − | 24.6767i | 0.460155 | − | 1.03633i | ||||
\(568\) | −10.2251 | + | 2.73980i | −0.429035 | + | 0.114960i | ||||
\(569\) | −10.7990 | −0.452717 | −0.226359 | − | 0.974044i | \(-0.572682\pi\) | ||||
−0.226359 | + | 0.974044i | \(0.572682\pi\) | |||||||
\(570\) | −0.622316 | − | 16.8705i | −0.0260660 | − | 0.706626i | ||||
\(571\) | −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 | ||||
\(573\) | −1.68228 | − | 18.2578i | −0.0702782 | − | 0.762730i | ||||
\(574\) | −7.79423 | + | 4.50000i | −0.325325 | + | 0.187826i | ||||
\(575\) | 11.7992 | + | 9.26174i | 0.492059 | + | 0.386241i | ||||
\(576\) | −0.548188 | − | 2.94949i | −0.0228412 | − | 0.122895i | ||||
\(577\) | −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 | ||||
\(579\) | 19.4981 | − | 7.19881i | 0.810315 | − | 0.299172i | ||||
\(580\) | −4.70523 | + | 5.30614i | −0.195374 | + | 0.220326i | ||||
\(581\) | − | 12.7279i | − | 0.528043i | ||||||
\(582\) | −14.4853 | − | 20.4853i | −0.600434 | − | 0.849142i | ||||
\(583\) | −0.421207 | + | 1.57196i | −0.0174446 | + | 0.0651041i | ||||
\(584\) | 8.12132 | − | 14.0665i | 0.336063 | − | 0.582078i | ||||
\(585\) | 18.2353 | + | 5.24140i | 0.753939 | + | 0.216705i | ||||
\(586\) | 12.9853 | − | 22.4912i | 0.536417 | − | 0.929102i | ||||
\(587\) | 39.5745 | − | 10.6040i | 1.63342 | − | 0.437672i | 0.678512 | − | 0.734589i | \(-0.262625\pi\) |
0.954903 | + | 0.296917i | \(0.0959584\pi\) | |||||||
\(588\) | −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 | ||||
\(591\) | −11.3412 | − | 9.42755i | −0.466514 | − | 0.387798i | ||||
\(592\) | 0.776457 | + | 2.89778i | 0.0319122 | + | 0.119098i | ||||
\(593\) | 37.1739 | + | 9.96072i | 1.52655 | + | 0.409038i | 0.921892 | − | 0.387447i | \(-0.126643\pi\) |
0.604658 | + | 0.796485i | \(0.293310\pi\) | |||||||
\(594\) | −0.456405 | − | 0.765833i | −0.0187265 | − | 0.0314225i | ||||
\(595\) | −11.2560 | − | 9.98130i | −0.461452 | − | 0.409194i | ||||
\(596\) | 11.3137i | 0.463428i | ||||||||
\(597\) | 20.1421 | − | 14.2426i | 0.824363 | − | 0.582912i | ||||
\(598\) | −2.19615 | + | 8.19615i | −0.0898074 | + | 0.335166i | ||||
\(599\) | 11.8492 | + | 20.5235i | 0.484147 | + | 0.838567i | 0.999834 | − | 0.0182098i | \(-0.00579669\pi\) |
−0.515687 | + | 0.856777i | \(0.672463\pi\) | |||||||
\(600\) | 7.70711 | − | 3.94975i | 0.314641 | − | 0.161248i | ||||
\(601\) | 23.0000 | 0.938190 | 0.469095 | − | 0.883148i | \(-0.344580\pi\) | ||||
0.469095 | + | 0.883148i | \(0.344580\pi\) | |||||||
\(602\) | 3.29423 | − | 12.2942i | 0.134263 | − | 0.501075i | ||||
\(603\) | 16.9189 | + | 1.32300i | 0.688991 | + | 0.0538766i | ||||
\(604\) | −9.29065 | + | 5.36396i | −0.378031 | + | 0.218256i | ||||
\(605\) | 4.91797 | − | 24.0329i | 0.199944 | − | 0.977076i | ||||
\(606\) | −19.1698 | + | 23.0610i | −0.778722 | + | 0.936790i | ||||
\(607\) | −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 | ||||
\(612\) | 3.80795 | − | 5.54657i | 0.153927 | − | 0.224207i | ||||
\(613\) | −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 | ||||
\(615\) | 6.87868 | − | 9.36396i | 0.277375 | − | 0.377591i | ||||
\(616\) | −0.514719 | −0.0207386 | ||||||||
\(617\) | 8.32977 | − | 31.0871i | 0.335344 | − | 1.25152i | −0.568152 | − | 0.822924i | \(-0.692341\pi\) |
0.903496 | − | 0.428597i | \(-0.140992\pi\) | |||||||
\(618\) | 4.71940 | + | 2.17423i | 0.189842 | + | 0.0874605i | ||||
\(619\) | − | 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 | ||||
\(621\) | −15.5870 | + | 0.215791i | −0.625483 | + | 0.00865938i | ||||
\(622\) | 2.19615 | + | 8.19615i | 0.0880577 | + | 0.328636i | ||||
\(623\) | −34.2761 | − | 9.18427i | −1.37324 | − | 0.367960i | ||||
\(624\) | 3.76733 | + | 3.13165i | 0.150814 | + | 0.125366i | ||||
\(625\) | 17.2846 | + | 18.0622i | 0.691384 | + | 0.722487i | ||||
\(626\) | 21.5563i | 0.861565i | ||||||||
\(627\) | 0.0298939 | − | 1.29500i | 0.00119385 | − | 0.0517174i | ||||
\(628\) | 8.36396 | + | 8.36396i | 0.333758 | + | 0.333758i | ||||
\(629\) | −3.36396 | + | 5.82655i | −0.134130 | + | 0.232320i | ||||
\(630\) | 17.2436 | + | 10.3759i | 0.687001 | + | 0.413384i | ||||
\(631\) | 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 | ||||
\(633\) | −2.52594 | + | 5.48281i | −0.100397 | + | 0.217922i | ||||
\(634\) | − | 28.4558i | − | 1.13013i | ||||||
\(635\) | 2.65685 | − | 5.31371i | 0.105434 | − | 0.210868i | ||||
\(636\) | 15.4121 | − | 5.69022i | 0.611130 | − | 0.225632i | ||||
\(637\) | 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 | 0.770602 | − | 0.637317i | \(-0.219956\pi\) |
−0.166632 | + | 0.986019i | \(0.553289\pi\) | |||||||
\(642\) | 13.3485 | + | 6.14966i | 0.526822 | + | 0.242708i | ||||
\(643\) | 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 | ||||
\(645\) | 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 | \(0.635077\pi\) | |||||||
\(648\) | −3.65237 | + | 8.22558i | −0.143479 | + | 0.323131i | ||||
\(649\) | 0.840532 | + | 0.485281i | 0.0329938 | + | 0.0190490i | ||||
\(650\) | −5.55532 | + | 13.0053i | −0.217898 | + | 0.510111i | ||||
\(651\) | 20.7357 | − | 24.9447i | 0.812695 | − | 0.977659i | ||||
\(652\) | −19.4558 | − | 5.21317i | −0.761948 | − | 0.204163i | ||||
\(653\) | 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 | ||||
\(655\) | −22.2535 | + | 25.0955i | −0.869515 | + | 0.980562i | ||||
\(656\) | 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 | −0.938690 | − | 0.344762i | \(-0.887960\pi\) |
0.170773 | − | 0.985310i | \(-0.445374\pi\) | |||||||
\(660\) | 0.608460 | − | 0.267087i | 0.0236843 | − | 0.0103963i | ||||
\(661\) | −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 | ||||
\(663\) | 1.00804 | + | 10.9403i | 0.0391492 | + | 0.424886i | ||||
\(664\) | 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 | ||||
\(669\) | 28.4109 | − | 10.4894i | 1.09843 | − | 0.405545i | ||||
\(670\) | −2.53590 | + | 12.3923i | −0.0979703 | + | 0.478757i | ||||
\(671\) | 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 | ||||
\(675\) | −25.7680 | − | 3.31785i | −0.991812 | − | 0.127704i | ||||
\(676\) | 5.00000 | 0.192308 | ||||||||
\(677\) | −34.6066 | − | 34.6066i | −1.33004 | − | 1.33004i | −0.905329 | − | 0.424711i | \(-0.860376\pi\) |
−0.424711 | − | 0.905329i | \(-0.639624\pi\) | |||||||
\(678\) | 14.4949 | − | 31.4626i | 0.556673 | − | 1.20832i | ||||
\(679\) | 37.6339 | + | 21.7279i | 1.44426 | + | 0.833841i | ||||
\(680\) | 3.75201 | + | 3.32710i | 0.143883 | + | 0.127588i | ||||
\(681\) | −30.5957 | − | 25.4332i | −1.17243 | − | 0.974601i | ||||
\(682\) | −0.277213 | − | 1.03457i | −0.0106150 | − | 0.0396158i | ||||
\(683\) | 0.899495 | − | 0.899495i | 0.0344182 | − | 0.0344182i | −0.689688 | − | 0.724106i | \(-0.742252\pi\) |
0.724106 | + | 0.689688i | \(0.242252\pi\) | |||||||
\(684\) | −10.8485 | + | 7.30142i | −0.414802 | + | 0.279177i | ||||
\(685\) | 40.9706 | + | 20.4853i | 1.56540 | + | 0.782702i | ||||
\(686\) | −12.9904 | − | 7.50000i | −0.495975 | − | 0.286351i | ||||
\(687\) | 2.50414 | + | 27.1774i | 0.0955388 | + | 1.03688i | ||||
\(688\) | −1.09808 | + | 4.09808i | −0.0418638 | + | 0.156238i | ||||
\(689\) | −13.4142 | + | 23.2341i | −0.511041 | + | 0.885149i | ||||
\(690\) | 1.27513 | − | 11.5488i | 0.0485434 | − | 0.439654i | ||||
\(691\) | −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 | ||||
\(693\) | 1.27302 | + | 0.873980i | 0.0483580 | + | 0.0331998i | ||||
\(694\) | −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 | ||||
\(699\) | −6.29012 | − | 17.0370i | −0.237914 | − | 0.644397i | ||||
\(700\) | −9.26174 | + | 11.7992i | −0.350061 | + | 0.445966i | ||||
\(701\) | −28.7635 | − | 16.6066i | −1.08638 | − | 0.627223i | −0.153771 | − | 0.988107i | \(-0.549142\pi\) |
−0.932611 | + | 0.360884i | \(0.882475\pi\) | |||||||
\(702\) | −4.00000 | − | 14.1421i | −0.150970 | − | 0.533761i | ||||
\(703\) | 10.2462 | − | 8.12493i | 0.386445 | − | 0.306437i | ||||
\(704\) | 0.171573 | 0.00646640 | ||||||||
\(705\) | 23.4015 | + | 9.12419i | 0.881353 | + | 0.343637i | ||||
\(706\) | −2.48528 | + | 4.30463i | −0.0935348 | + | 0.162007i | ||||
\(707\) | 13.4434 | − | 50.1713i | 0.505589 | − | 1.88688i | ||||
\(708\) | −0.898979 | − | 9.75663i | −0.0337857 | − | 0.366677i | ||||
\(709\) | −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 | ||||
\(717\) | 1.18368 | − | 0.109065i | 0.0442053 | − | 0.00407309i | ||||
\(718\) | −2.38455 | + | 8.89927i | −0.0889907 | + | 0.332118i | ||||
\(719\) | −3.70711 | + | 6.42090i | −0.138252 | + | 0.239459i | −0.926835 | − | 0.375469i | \(-0.877482\pi\) |
0.788583 | + | 0.614928i | \(0.210815\pi\) | |||||||
\(720\) | −5.74786 | − | 3.45862i | −0.214210 | − | 0.128895i | ||||
\(721\) | −9.00000 | −0.335178 | ||||||||
\(722\) | −18.9903 | + | 0.605571i | −0.706748 | + | 0.0225370i | ||||
\(723\) | 0.485281 | + | 0.686292i | 0.0180478 | + | 0.0255235i | ||||
\(724\) | −12.5446 | − | 7.24264i | −0.466217 | − | 0.269171i | ||||
\(725\) | 1.89684 | + | 15.7440i | 0.0704470 | + | 0.584718i | ||||
\(726\) | −17.8255 | + | 6.58125i | −0.661565 | + | 0.244253i | ||||
\(727\) | −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 | ||||
\(732\) | −3.52797 | − | 1.62534i | −0.130398 | − | 0.0600744i | ||||
\(733\) | −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 | ||||||||
\(735\) | −7.69918 | − | 0.850087i | −0.283988 | − | 0.0313559i | ||||
\(736\) | 1.50000 | − | 2.59808i | 0.0552907 | − | 0.0957664i | ||||
\(737\) | −0.251200 | + | 0.937492i | −0.00925308 | + | 0.0345329i | ||||
\(738\) | −8.97261 | − | 0.701625i | −0.330286 | − | 0.0258272i | ||||
\(739\) | −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 | ||||
\(741\) | 6.00141 | − | 20.4935i | 0.220467 | − | 0.752847i | ||||
\(742\) | −20.1213 | + | 20.1213i | −0.738677 | + | 0.738677i | ||||
\(743\) | 6.72168 | + | 25.0856i | 0.246594 | + | 0.920303i | 0.972575 | + | 0.232588i | \(0.0747194\pi\) |
−0.725981 | + | 0.687715i | \(0.758614\pi\) | |||||||
\(744\) | −6.91189 | + | 8.31489i | −0.253402 | + | 0.304839i | ||||
\(745\) | 18.9282 | + | 16.7846i | 0.693476 | + | 0.614941i | ||||
\(746\) | −15.1427 | − | 8.74264i | −0.554414 | − | 0.320091i | ||||
\(747\) | 7.20390 | − | 10.4930i | 0.263577 | − | 0.383920i | ||||
\(748\) | 0.272078 | + | 0.272078i | 0.00994815 | + | 0.00994815i | ||||
\(749\) | −25.4558 | −0.930136 | ||||||||
\(750\) | 4.82593 | − | 18.7539i | 0.176218 | − | 0.684797i | ||||
\(751\) | 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 | ||||
\(753\) | 24.4853 | − | 17.3137i | 0.892293 | − | 0.630947i | ||||
\(754\) | −7.76874 | + | 4.48528i | −0.282921 | + | 0.163344i | ||||
\(755\) | −4.80920 | + | 23.5013i | −0.175025 | + | 0.855301i | ||||
\(756\) | −0.215791 | − | 15.5870i | −0.00784823 | − | 0.566892i | ||||
\(757\) | −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 | \(0.0376737\pi\) | ||||
−0.993004 | + | 0.118079i | \(0.962326\pi\) | |||||||
\(762\) | −4.58240 | + | 0.422224i | −0.166003 | + | 0.0152955i | ||||
\(763\) | −6.49867 | + | 1.74131i | −0.235268 | + | 0.0630398i | ||||
\(764\) | −5.29289 | − | 9.16756i | −0.191490 | − | 0.331671i | ||||
\(765\) | −3.63025 | − | 14.5995i | −0.131252 | − | 0.527847i | ||||
\(766\) | 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 | \(-0.914670\pi\) |
−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 | 0.108923 | − | 0.994050i | \(-0.465260\pi\) |
−0.402695 | + | 0.915334i | \(0.631927\pi\) | |||||||
\(774\) | 9.67423 | − | 8.27098i | 0.347733 | − | 0.297294i | ||||
\(775\) | −28.7041 | − | 12.2612i | −1.03108 | − | 0.440435i | ||||
\(776\) | −12.5446 | − | 7.24264i | −0.450326 | − | 0.259996i | ||||
\(777\) | 1.43027 | + | 15.5227i | 0.0513106 | + | 0.556874i | ||||
\(778\) | −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 | ||||
\(782\) | 6.49867 | − | 1.74131i | 0.232392 | − | 0.0622693i | ||||
\(783\) | −11.8133 | − | 11.4907i | −0.422173 | − | 0.410643i | ||||
\(784\) | −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 | ||||
\(789\) | 0.891021 | + | 2.41335i | 0.0317212 | + | 0.0859176i | ||||
\(790\) | −6.48528 | + | 12.9706i | −0.230736 | + | 0.461472i | ||||
\(791\) | 60.0000i | 2.13335i | ||||||||
\(792\) | −0.424339 | − | 0.291327i | −0.0150782 | − | 0.0103518i | ||||
\(793\) | 6.12701 | − | 1.64173i | 0.217576 | − | 0.0582994i | ||||
\(794\) | 3.98528 | + | 6.90271i | 0.141432 | + | 0.244968i | ||||
\(795\) | 13.3449 | − | 34.2268i | 0.473295 | − | 1.21390i | ||||
\(796\) | 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 | \(0.735818\pi\) | |||||||
\(798\) | 11.7744 | − | 19.3485i | 0.416810 | − | 0.684928i | ||||
\(799\) | 14.5442i | 0.514535i | ||||||||
\(800\) | 3.08725 | − | 3.93305i | 0.109151 | − | 0.139054i | ||||
\(801\) | −23.0594 | − | 26.9716i | −0.814764 | − | 0.952996i | ||||
\(802\) | −33.4475 | − | 8.96224i | −1.18107 | − | 0.316468i | ||||
\(803\) | −0.721276 | − | 2.69184i | −0.0254533 | − | 0.0949929i | ||||
\(804\) | 9.19151 | − | 3.39355i | 0.324160 | − | 0.119681i | ||||
\(805\) | 6.36396 | + | 19.0919i | 0.224300 | + | 0.672900i | ||||
\(806\) | − | 17.6569i | − | 0.621936i | ||||||
\(807\) | −7.92069 | + | 17.1927i | −0.278821 | + | 0.605210i | ||||
\(808\) | −4.48112 | + | 16.7238i | −0.157645 | + | 0.588340i | ||||
\(809\) | 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 | 0.628668 | − | 0.777674i | \(-0.283600\pi\) |
−0.987819 | + | 0.155606i | \(0.950267\pi\) | |||||||
\(812\) | −9.19051 | + | 2.46259i | −0.322524 | + | 0.0864200i | ||||
\(813\) | 1.44949 | − | 3.14626i | 0.0508358 | − | 0.110344i | ||||
\(814\) | 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 | ||||
\(819\) | 16.5420 | + | 19.3485i | 0.578023 | + | 0.676090i | ||||
\(820\) | 1.34486 | − | 6.57201i | 0.0469647 | − | 0.229505i | ||||
\(821\) | 5.79050 | − | 3.34315i | 0.202090 | − | 0.116677i | −0.395540 | − | 0.918449i | \(-0.629443\pi\) |
0.597630 | + | 0.801772i | \(0.296109\pi\) | |||||||
\(822\) | −3.25549 | − | 35.3319i | −0.113548 | − | 1.23234i | ||||
\(823\) | −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 | ||||||||
\(825\) | 0.455844 | − | 1.41421i | 0.0158705 | − | 0.0492366i | ||||
\(826\) | 8.48528 | + | 14.6969i | 0.295241 | + | 0.511372i | ||||
\(827\) | 1.80411 | − | 6.73305i | 0.0627352 | − | 0.234131i | −0.927438 | − | 0.373977i | \(-0.877994\pi\) |
0.990173 | + | 0.139846i | \(0.0446607\pi\) | |||||||
\(828\) | −8.12132 | + | 3.87868i | −0.282235 | + | 0.134793i | ||||
\(829\) | − | 28.9706i | − | 1.00619i | −0.864231 | − | 0.503095i | \(-0.832195\pi\) | ||
0.864231 | − | 0.503095i | \(-0.167805\pi\) | |||||||
\(830\) | 7.09808 | + | 6.29423i | 0.246378 | + | 0.218476i | ||||
\(831\) | 32.0764 | − | 38.5874i | 1.11272 | − | 1.33858i | ||||
\(832\) | 2.73205 | + | 0.732051i | 0.0947168 | + | 0.0253793i | ||||
\(833\) | −1.16088 | − | 4.33245i | −0.0402220 | − | 0.150110i | ||||
\(834\) | 15.5009 | − | 18.6473i | 0.536752 | − | 0.645704i | ||||
\(835\) | 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 | ||||
\(838\) | 28.8120 | − | 7.72017i | 0.995296 | − | 0.266689i | ||||
\(839\) | 14.1213 | − | 24.4588i | 0.487522 | − | 0.844413i | −0.512375 | − | 0.858762i | \(-0.671234\pi\) |
0.999897 | + | 0.0143488i | \(0.00456751\pi\) | |||||||
\(840\) | 11.5488 | + | 1.27513i | 0.398470 | + | 0.0439962i | ||||
\(841\) | 9.47056 | − | 16.4035i | 0.326571 | − | 0.565638i | ||||
\(842\) | −5.42758 | + | 20.2560i | −0.187047 | + | 0.698068i | ||||
\(843\) | −8.72792 | + | 6.17157i | −0.300606 | + | 0.212560i | ||||
\(844\) | 3.48528i | 0.119968i | ||||||||
\(845\) | 7.41782 | − | 8.36516i | 0.255181 | − | 0.287770i | ||||
\(846\) | −3.55515 | − | 19.1283i | −0.122229 | − | 0.657644i | ||||
\(847\) | 23.2721 | − | 23.2721i | 0.799638 | − | 0.799638i | ||||
\(848\) | 6.70711 | − | 6.70711i | 0.230323 | − | 0.230323i | ||||
\(849\) | 18.9406 | − | 6.99295i | 0.650039 | − | 0.239997i | ||||
\(850\) | 11.1327 | − | 1.34127i | 0.381848 | − | 0.0460052i | ||||
\(851\) | 7.79423 | − | 4.50000i | 0.267183 | − | 0.154258i | ||||
\(852\) | 18.2578 | − | 1.68228i | 0.625501 | − | 0.0576339i | ||||
\(853\) | −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 | ||||||||
\(855\) | −3.87889 | + | 28.9820i | −0.132655 | + | 0.991162i | ||||
\(856\) | 8.48528 | 0.290021 | ||||||||
\(857\) | −8.19615 | + | 2.19615i | −0.279975 | + | 0.0750191i | −0.396074 | − | 0.918219i | \(-0.629628\pi\) |
0.116099 | + | 0.993238i | \(0.462961\pi\) | |||||||
\(858\) | 0.836987 | − | 0.0771202i | 0.0285743 | − | 0.00263284i | ||||
\(859\) | 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 | ||||
\(861\) | 14.6236 | − | 5.39910i | 0.498371 | − | 0.184001i | ||||
\(862\) | 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 | \(0.856672\pi\) | |||||||
\(864\) | 0.0719302 | + | 5.19565i | 0.00244711 | + | 0.176760i | ||||
\(865\) | 44.5753 | − | 2.67555i | 1.51561 | − | 0.0909714i | ||||
\(866\) | 9.51472i | 0.323323i | ||||||||
\(867\) | −16.9289 | + | 11.9706i | −0.574937 | + | 0.406542i | ||||
\(868\) | 4.84714 | − | 18.0898i | 0.164523 | − | 0.614007i | ||||
\(869\) | −0.556349 | + | 0.963625i | −0.0188729 | + | 0.0326887i | ||||
\(870\) | 9.58647 | − | 7.68003i | 0.325012 | − | 0.260377i | ||||
\(871\) | −8.00000 | + | 13.8564i | −0.271070 | + | 0.469506i | ||||
\(872\) | 2.16622 | − | 0.580438i | 0.0733576 | − | 0.0196561i | ||||
\(873\) | 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 | ||||
\(876\) | −17.9840 | + | 21.6344i | −0.607622 | + | 0.730959i | ||||
\(877\) | 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 | ||||
\(879\) | −28.7548 | + | 34.5915i | −0.969874 | + | 1.16674i | ||||
\(880\) | 0.254539 | − | 0.287047i | 0.00858052 | − | 0.00967635i | ||||
\(881\) | − | 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 | ||||
\(883\) | 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 | ||||
\(885\) | −17.6569 | − | 12.9706i | −0.593529 | − | 0.436001i | ||||
\(886\) | 34.2426 | 1.15040 | ||||||||
\(887\) | −5.03554 | + | 18.7929i | −0.169077 | + | 0.631004i | 0.828408 | + | 0.560125i | \(0.189247\pi\) |
−0.997485 | + | 0.0708787i | \(0.977420\pi\) | |||||||
\(888\) | −0.476756 | − | 5.17423i | −0.0159989 | − | 0.173636i | ||||
\(889\) | 6.90271 | − | 3.98528i | 0.231509 | − | 0.133662i | ||||
\(890\) | 22.0721 | − | 14.5732i | 0.739860 | − | 0.488496i | ||||
\(891\) | 0.554824 | + | 1.44104i | 0.0185873 | + | 0.0482766i | ||||
\(892\) | 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 | ||||
\(897\) | 6.14966 | − | 13.3485i | 0.205331 | − | 0.445692i | ||||
\(898\) | 17.2209 | − | 4.61434i | 0.574670 | − | 0.153982i | ||||
\(899\) | −9.89949 | − | 17.1464i | −0.330167 | − | 0.571865i | ||||
\(900\) | −14.3137 | + | 4.48528i | −0.477124 | + | 0.149509i | ||||
\(901\) | 21.2721 | 0.708676 | ||||||||
\(902\) | 0.133219 | − | 0.497180i | 0.00443571 | − | 0.0165543i | ||||
\(903\) | −9.22450 | + | 20.0227i | −0.306972 | + | 0.666314i | ||||
\(904\) | − | 20.0000i | − | 0.665190i | ||||||
\(905\) | −30.7279 | + | 10.2426i | −1.02143 | + | 0.340477i | ||||
\(906\) | 17.4312 | − | 6.43568i | 0.579113 | − | 0.213811i | ||||
\(907\) | 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 | ||||
\(909\) | 39.4794 | − | 33.7529i | 1.30945 | − | 1.11951i | ||||
\(910\) | −15.8338 | + | 10.4543i | −0.524884 | + | 0.346557i | ||||
\(911\) | − | 29.3137i | − | 0.971206i | −0.874179 | − | 0.485603i | \(-0.838600\pi\) | ||
0.874179 | − | 0.485603i | \(-0.161400\pi\) | |||||||
\(912\) | −3.92480 | + | 6.44949i | −0.129963 | + | 0.213564i | ||||
\(913\) | 0.514719 | + | 0.514719i | 0.0170347 | + | 0.0170347i | ||||
\(914\) | 17.6569 | − | 30.5826i | 0.584037 | − | 1.01158i | ||||
\(915\) | −7.95322 | + | 3.49111i | −0.262925 | + | 0.115413i | ||||
\(916\) | 7.87868 | + | 13.6463i | 0.260319 | + | 0.450886i | ||||
\(917\) | −43.4667 | + | 11.6469i | −1.43540 | + | 0.384613i | ||||
\(918\) | −8.12513 | + | 8.35326i | −0.268169 | + | 0.275699i | ||||
\(919\) | − | 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 | ||||
\(921\) | −12.0833 | − | 32.7278i | −0.398157 | − | 1.07842i | ||||
\(922\) | 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 | ||||
\(927\) | −7.41970 | − | 5.09393i | −0.243695 | − | 0.167307i | ||||
\(928\) | 3.06350 | − | 0.820863i | 0.100564 | − | 0.0269462i | ||||
\(929\) | 24.2990 | − | 42.0871i | 0.797224 | − | 1.38083i | −0.124193 | − | 0.992258i | \(-0.539634\pi\) |
0.921417 | − | 0.388574i | \(-0.127032\pi\) | |||||||
\(930\) | 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 | ||||
\(933\) | −1.34847 | − | 14.6349i | −0.0441469 | − | 0.479127i | ||||
\(934\) | −2.15232 | − | 1.24264i | −0.0704260 | − | 0.0406604i | ||||
\(935\) | 0.858840 | − | 0.0515503i | 0.0280871 | − | 0.00168587i | ||||
\(936\) | −5.51399 | − | 6.44949i | −0.180230 | − | 0.210808i | ||||
\(937\) | 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 | −0.0894699 | − | 0.995990i | \(-0.528517\pi\) |
0.817817 | + | 0.575478i | \(0.195184\pi\) | |||||||
\(942\) | −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 | ||||
\(945\) | −26.3976 | − | 22.7632i | −0.858715 | − | 0.740488i | ||||
\(946\) | 0.363961 | + | 0.630399i | 0.0118334 | + | 0.0204960i | ||||
\(947\) | −53.3319 | + | 14.2902i | −1.73305 | + | 0.464370i | −0.980883 | − | 0.194599i | \(-0.937659\pi\) |
−0.752170 | + | 0.658969i | \(0.770993\pi\) | |||||||
\(948\) | 11.1855 | − | 1.03063i | 0.363287 | − | 0.0334734i | ||||
\(949\) | − | 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 | 0.941954 | − | 0.335742i | \(-0.108987\pi\) |
−0.983627 | + | 0.180216i | \(0.942320\pi\) | |||||||
\(954\) | −27.9767 | + | 5.19972i | −0.905780 | + | 0.168347i | ||||
\(955\) | −23.1900 | − | 4.74548i | −0.750410 | − | 0.153560i | ||||
\(956\) | 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 | ||||
\(960\) | −3.84959 | − | 0.425044i | −0.124245 | − | 0.0137182i | ||||
\(961\) | 7.97056 | 0.257115 | ||||||||
\(962\) | 6.00000 | + | 6.00000i | 0.193448 | + | 0.193448i | ||||
\(963\) | −20.9861 | − | 14.4078i | −0.676267 | − | 0.464285i | ||||
\(964\) | 0.420266 | + | 0.242641i | 0.0135359 | + | 0.00781493i | ||||
\(965\) | −1.60770 | − | 26.7846i | −0.0517535 | − | 0.862227i | ||||
\(966\) | 9.96486 | − | 11.9876i | 0.320614 | − | 0.385693i | ||||
\(967\) | −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 | ||||
\(969\) | −16.4514 | + | 4.00361i | −0.528496 | + | 0.128615i | ||||
\(970\) | −30.7279 | + | 10.2426i | −0.986614 | + | 0.328871i | ||||
\(971\) | −16.8493 | − | 9.72792i | −0.540718 | − | 0.312184i | 0.204652 | − | 0.978835i | \(-0.434394\pi\) |
−0.745370 | + | 0.666651i | \(0.767727\pi\) | |||||||
\(972\) | 8.64420 | − | 12.9722i | 0.277263 | − | 0.416083i | ||||
\(973\) | −10.8704 | + | 40.5689i | −0.348489 | + | 1.30058i | ||||
\(974\) | −17.3995 | + | 30.1368i | −0.557516 | + | 0.965646i | ||||
\(975\) | 13.2927 | − | 20.5744i | 0.425707 | − | 0.658907i | ||||
\(976\) | −2.24264 | −0.0717852 | ||||||||
\(977\) | 7.75736 | + | 7.75736i | 0.248180 | + | 0.248180i | 0.820223 | − | 0.572043i | \(-0.193849\pi\) |
−0.572043 | + | 0.820223i | \(0.693849\pi\) | |||||||
\(978\) | 31.6862 | + | 14.5979i | 1.01321 | + | 0.466790i | ||||
\(979\) | 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 | \(0.00119053\pi\) |
−0.864149 | + | 0.503236i | \(0.832143\pi\) | |||||||
\(984\) | −4.87453 | + | 1.79970i | −0.155394 | + | 0.0573724i | ||||
\(985\) | −15.8887 | + | 10.4906i | −0.506255 | + | 0.334257i | ||||
\(986\) | 6.15978 | + | 3.55635i | 0.196167 | + | 0.113257i | ||||
\(987\) | 19.4558 | + | 27.5147i | 0.619286 | + | 0.875803i | ||||
\(988\) | −1.80385 | − | 12.1962i | −0.0573880 | − | 0.388011i | ||||
\(989\) | 12.7279 | 0.404724 | ||||||||
\(990\) | −1.11693 | + | 0.277732i | −0.0354985 | + | 0.00882690i | ||||
\(991\) | −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 | ||||
\(993\) | −21.5847 | + | 1.98882i | −0.684970 | + | 0.0631134i | ||||
\(994\) | −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.b.353.1 | yes | 8 | |
3.2 | odd | 2 | 570.2.v.a.353.2 | yes | 8 | ||
5.2 | odd | 4 | 570.2.v.a.467.1 | yes | 8 | ||
15.2 | even | 4 | inner | 570.2.v.b.467.2 | yes | 8 | |
19.7 | even | 3 | inner | 570.2.v.b.83.2 | yes | 8 | |
57.26 | odd | 6 | 570.2.v.a.83.1 | ✓ | 8 | ||
95.7 | odd | 12 | 570.2.v.a.197.2 | yes | 8 | ||
285.197 | even | 12 | inner | 570.2.v.b.197.1 | yes | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.v.a.83.1 | ✓ | 8 | 57.26 | odd | 6 | ||
570.2.v.a.197.2 | yes | 8 | 95.7 | odd | 12 | ||
570.2.v.a.353.2 | yes | 8 | 3.2 | odd | 2 | ||
570.2.v.a.467.1 | yes | 8 | 5.2 | odd | 4 | ||
570.2.v.b.83.2 | yes | 8 | 19.7 | even | 3 | inner | |
570.2.v.b.197.1 | yes | 8 | 285.197 | even | 12 | inner | |
570.2.v.b.353.1 | yes | 8 | 1.1 | even | 1 | trivial | |
570.2.v.b.467.2 | yes | 8 | 15.2 | even | 4 | inner |