Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [196,2,Mod(3,196)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(196, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("196.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 196 = 2^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 196.p (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.56506787962\) |
Analytic rank: | \(0\) |
Dimension: | \(312\) |
Relative dimension: | \(26\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 59.14 | ||
Character | \(\chi\) | \(=\) | 196.59 |
Dual form | 196.2.p.a.103.14 |
$q$-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 \(\left(\mathbb{Z}/196\mathbb{Z}\right)^\times\).
\(n\) | \(99\) | \(101\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{13}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0502976 | + | 1.41332i | −0.0355658 | + | 0.999367i | ||||
\(3\) | 0.268248 | − | 0.182888i | 0.154873 | − | 0.105591i | −0.483404 | − | 0.875397i | \(-0.660600\pi\) |
0.638277 | + | 0.769807i | \(0.279647\pi\) | |||||||
\(4\) | −1.99494 | − | 0.142173i | −0.997470 | − | 0.0710865i | ||||
\(5\) | −3.87544 | + | 0.290424i | −1.73315 | + | 0.129882i | −0.903552 | − | 0.428479i | \(-0.859050\pi\) |
−0.829598 | + | 0.558361i | \(0.811431\pi\) | |||||||
\(6\) | 0.244987 | + | 0.388319i | 0.100016 | + | 0.158530i | ||||
\(7\) | 1.56212 | + | 2.13536i | 0.590426 | + | 0.807091i | ||||
\(8\) | 0.301276 | − | 2.81234i | 0.106517 | − | 0.994311i | ||||
\(9\) | −1.05751 | + | 2.69450i | −0.352505 | + | 0.898167i | ||||
\(10\) | −0.215537 | − | 5.49184i | −0.0681587 | − | 1.73667i | ||||
\(11\) | −3.83683 | + | 1.50584i | −1.15685 | + | 0.454029i | −0.864673 | − | 0.502336i | \(-0.832474\pi\) |
−0.292175 | + | 0.956365i | \(0.594379\pi\) | |||||||
\(12\) | −0.561140 | + | 0.326714i | −0.161987 | + | 0.0943141i | ||||
\(13\) | −3.48169 | − | 2.77655i | −0.965646 | − | 0.770077i | 0.00756928 | − | 0.999971i | \(-0.497591\pi\) |
−0.973216 | + | 0.229894i | \(0.926162\pi\) | |||||||
\(14\) | −3.09652 | + | 2.10037i | −0.827580 | + | 0.561348i | ||||
\(15\) | −0.986464 | + | 0.786679i | −0.254704 | + | 0.203120i | ||||
\(16\) | 3.95957 | + | 0.567253i | 0.989893 | + | 0.141813i | ||||
\(17\) | 1.72962 | − | 1.86409i | 0.419495 | − | 0.452108i | −0.487579 | − | 0.873079i | \(-0.662120\pi\) |
0.907074 | + | 0.420971i | \(0.138311\pi\) | |||||||
\(18\) | −3.75500 | − | 1.63013i | −0.885062 | − | 0.384226i | ||||
\(19\) | 2.67127 | + | 4.62677i | 0.612831 | + | 1.06145i | 0.990761 | + | 0.135620i | \(0.0433026\pi\) |
−0.377930 | + | 0.925834i | \(0.623364\pi\) | |||||||
\(20\) | 7.77256 | − | 0.0283958i | 1.73800 | − | 0.00634949i | ||||
\(21\) | 0.809569 | + | 0.287113i | 0.176662 | + | 0.0626532i | ||||
\(22\) | −1.93526 | − | 5.49840i | −0.412598 | − | 1.17226i | ||||
\(23\) | 1.95374 | + | 2.10563i | 0.407383 | + | 0.439054i | 0.903100 | − | 0.429430i | \(-0.141285\pi\) |
−0.495718 | + | 0.868484i | \(0.665095\pi\) | |||||||
\(24\) | −0.433527 | − | 0.809503i | −0.0884932 | − | 0.165239i | ||||
\(25\) | 9.99054 | − | 1.50583i | 1.99811 | − | 0.301166i | ||||
\(26\) | 4.09928 | − | 4.78108i | 0.803934 | − | 0.937647i | ||||
\(27\) | 0.425849 | + | 1.86577i | 0.0819547 | + | 0.359067i | ||||
\(28\) | −2.81275 | − | 4.48201i | −0.531559 | − | 0.847021i | ||||
\(29\) | −0.966524 | + | 4.23462i | −0.179479 | + | 0.786349i | 0.802392 | + | 0.596798i | \(0.203561\pi\) |
−0.981871 | + | 0.189551i | \(0.939297\pi\) | |||||||
\(30\) | −1.06221 | − | 1.43376i | −0.193932 | − | 0.261767i | ||||
\(31\) | 1.62402 | − | 2.81289i | 0.291683 | − | 0.505210i | −0.682525 | − | 0.730863i | \(-0.739118\pi\) |
0.974208 | + | 0.225652i | \(0.0724513\pi\) | |||||||
\(32\) | −1.00087 | + | 5.56761i | −0.176930 | + | 0.984223i | ||||
\(33\) | −0.753820 | + | 1.10565i | −0.131223 | + | 0.192469i | ||||
\(34\) | 2.54755 | + | 2.53826i | 0.436902 | + | 0.435309i | ||||
\(35\) | −6.67407 | − | 7.82180i | −1.12812 | − | 1.32212i | ||||
\(36\) | 2.49276 | − | 5.22502i | 0.415461 | − | 0.870837i | ||||
\(37\) | −2.52615 | + | 0.779213i | −0.415296 | + | 0.128102i | −0.495360 | − | 0.868688i | \(-0.664964\pi\) |
0.0800638 | + | 0.996790i | \(0.474488\pi\) | |||||||
\(38\) | −6.67346 | + | 3.54264i | −1.08258 | + | 0.574692i | ||||
\(39\) | −1.44175 | − | 0.108045i | −0.230865 | − | 0.0173010i | ||||
\(40\) | −0.350809 | + | 10.9865i | −0.0554677 | + | 1.73712i | ||||
\(41\) | 0.309311 | − | 0.642291i | 0.0483063 | − | 0.100309i | −0.875419 | − | 0.483365i | \(-0.839414\pi\) |
0.923725 | + | 0.383056i | \(0.125129\pi\) | |||||||
\(42\) | −0.446501 | + | 1.12974i | −0.0688967 | + | 0.174322i | ||||
\(43\) | 3.62349 | + | 7.52426i | 0.552578 | + | 1.14744i | 0.970976 | + | 0.239176i | \(0.0768772\pi\) |
−0.418399 | + | 0.908263i | \(0.637409\pi\) | |||||||
\(44\) | 7.86834 | − | 2.45858i | 1.18620 | − | 0.370644i | ||||
\(45\) | 3.31579 | − | 10.7495i | 0.494288 | − | 1.60244i | ||||
\(46\) | −3.07420 | + | 2.65535i | −0.453265 | + | 0.391510i | ||||
\(47\) | −5.43584 | − | 0.819322i | −0.792899 | − | 0.119510i | −0.259911 | − | 0.965633i | \(-0.583693\pi\) |
−0.532989 | + | 0.846122i | \(0.678931\pi\) | |||||||
\(48\) | 1.16589 | − | 0.571995i | 0.168282 | − | 0.0825604i | ||||
\(49\) | −2.11955 | + | 6.67139i | −0.302793 | + | 0.953056i | ||||
\(50\) | 1.62572 | + | 14.1956i | 0.229912 | + | 2.00756i | ||||
\(51\) | 0.123047 | − | 0.816365i | 0.0172301 | − | 0.114314i | ||||
\(52\) | 6.55101 | + | 6.03406i | 0.908461 | + | 0.836774i | ||||
\(53\) | −1.19499 | − | 0.368606i | −0.164144 | − | 0.0506319i | 0.211594 | − | 0.977358i | \(-0.432135\pi\) |
−0.375738 | + | 0.926726i | \(0.622611\pi\) | |||||||
\(54\) | −2.65834 | + | 0.508017i | −0.361754 | + | 0.0691323i | ||||
\(55\) | 14.4321 | − | 6.95012i | 1.94602 | − | 0.937154i | ||||
\(56\) | 6.47599 | − | 3.74988i | 0.865390 | − | 0.501098i | ||||
\(57\) | 1.56274 | + | 0.752578i | 0.206991 | + | 0.0996814i | ||||
\(58\) | −5.93625 | − | 1.57900i | −0.779468 | − | 0.207333i | ||||
\(59\) | 0.170865 | − | 2.28004i | 0.0222447 | − | 0.296835i | −0.974975 | − | 0.222316i | \(-0.928638\pi\) |
0.997220 | − | 0.0745200i | \(-0.0237425\pi\) | |||||||
\(60\) | 2.07978 | − | 1.42913i | 0.268499 | − | 0.184500i | ||||
\(61\) | −2.41883 | − | 7.84164i | −0.309699 | − | 1.00402i | −0.967934 | − | 0.251206i | \(-0.919173\pi\) |
0.658235 | − | 0.752813i | \(-0.271303\pi\) | |||||||
\(62\) | 3.89383 | + | 2.43675i | 0.494517 | + | 0.309467i | ||||
\(63\) | −7.40571 | + | 1.95096i | −0.933031 | + | 0.245798i | ||||
\(64\) | −7.81847 | − | 1.69458i | −0.977308 | − | 0.211823i | ||||
\(65\) | 14.2995 | + | 9.74920i | 1.77363 | + | 1.20924i | ||||
\(66\) | −1.52472 | − | 1.12100i | −0.187680 | − | 0.137986i | ||||
\(67\) | 9.53210 | + | 5.50336i | 1.16453 | + | 0.672342i | 0.952386 | − | 0.304896i | \(-0.0986216\pi\) |
0.212145 | + | 0.977238i | \(0.431955\pi\) | |||||||
\(68\) | −3.71551 | + | 3.47284i | −0.450572 | + | 0.421144i | ||||
\(69\) | 0.909182 | + | 0.207515i | 0.109453 | + | 0.0249818i | ||||
\(70\) | 11.3904 | − | 9.03917i | 1.36141 | − | 1.08039i | ||||
\(71\) | −10.3693 | + | 2.36673i | −1.23061 | + | 0.280880i | −0.787911 | − | 0.615789i | \(-0.788837\pi\) |
−0.442703 | + | 0.896669i | \(0.645980\pi\) | |||||||
\(72\) | 7.25924 | + | 3.78588i | 0.855510 | + | 0.446170i | ||||
\(73\) | 0.802703 | + | 5.32559i | 0.0939493 | + | 0.623313i | 0.985408 | + | 0.170210i | \(0.0544447\pi\) |
−0.891459 | + | 0.453102i | \(0.850317\pi\) | |||||||
\(74\) | −0.974217 | − | 3.60944i | −0.113250 | − | 0.419589i | ||||
\(75\) | 2.40454 | − | 2.23109i | 0.277653 | − | 0.257624i | ||||
\(76\) | −4.67122 | − | 9.60991i | −0.535825 | − | 1.10233i | ||||
\(77\) | −9.20912 | − | 5.84071i | −1.04948 | − | 0.665611i | ||||
\(78\) | 0.225218 | − | 2.03222i | 0.0255009 | − | 0.230104i | ||||
\(79\) | 0.555886 | − | 0.320941i | 0.0625420 | − | 0.0361087i | −0.468403 | − | 0.883515i | \(-0.655170\pi\) |
0.530945 | + | 0.847406i | \(0.321837\pi\) | |||||||
\(80\) | −15.5098 | − | 1.04840i | −1.73405 | − | 0.117215i | ||||
\(81\) | −5.91020 | − | 5.48387i | −0.656689 | − | 0.609319i | ||||
\(82\) | 0.892205 | + | 0.469461i | 0.0985276 | + | 0.0518433i | ||||
\(83\) | −3.40958 | − | 4.27548i | −0.374250 | − | 0.469295i | 0.558664 | − | 0.829394i | \(-0.311314\pi\) |
−0.932914 | + | 0.360099i | \(0.882743\pi\) | |||||||
\(84\) | −1.57422 | − | 0.687872i | −0.171762 | − | 0.0750530i | ||||
\(85\) | −6.16167 | + | 7.72649i | −0.668327 | + | 0.838055i | ||||
\(86\) | −10.8164 | + | 4.74270i | −1.16637 | + | 0.511418i | ||||
\(87\) | 0.515194 | + | 1.31269i | 0.0552346 | + | 0.140736i | ||||
\(88\) | 3.07899 | + | 11.2441i | 0.328222 | + | 1.19863i | ||||
\(89\) | −3.68475 | − | 1.44616i | −0.390583 | − | 0.153293i | 0.161919 | − | 0.986804i | \(-0.448232\pi\) |
−0.552502 | + | 0.833511i | \(0.686327\pi\) | |||||||
\(90\) | 15.0257 | + | 5.22694i | 1.58385 | + | 0.550968i | ||||
\(91\) | 0.490130 | − | 11.7720i | 0.0513796 | − | 1.23404i | ||||
\(92\) | −3.59823 | − | 4.47838i | −0.375141 | − | 0.466903i | ||||
\(93\) | −0.0788041 | − | 1.05157i | −0.00817160 | − | 0.109042i | ||||
\(94\) | 1.43137 | − | 7.64137i | 0.147635 | − | 0.788147i | ||||
\(95\) | −11.6961 | − | 17.1550i | −1.19999 | − | 1.76006i | ||||
\(96\) | 0.749770 | + | 1.67655i | 0.0765231 | + | 0.171112i | ||||
\(97\) | 0.875631i | 0.0889069i | 0.999011 | + | 0.0444534i | \(0.0141546\pi\) | ||||
−0.999011 | + | 0.0444534i | \(0.985845\pi\) | |||||||
\(98\) | −9.32220 | − | 3.33116i | −0.941684 | − | 0.336498i | ||||
\(99\) | − | 11.9308i | − | 1.19909i | ||||||
\(100\) | −20.1446 | + | 1.58366i | −2.01446 | + | 0.158366i | ||||
\(101\) | 11.1070 | + | 16.2909i | 1.10518 | + | 1.62101i | 0.713072 | + | 0.701091i | \(0.247303\pi\) |
0.392113 | + | 0.919917i | \(0.371744\pi\) | |||||||
\(102\) | 1.14760 | + | 0.214966i | 0.113629 | + | 0.0212848i | ||||
\(103\) | −0.127221 | − | 1.69765i | −0.0125355 | − | 0.167274i | −0.999958 | − | 0.00917024i | \(-0.997081\pi\) |
0.987422 | − | 0.158104i | \(-0.0505381\pi\) | |||||||
\(104\) | −8.85755 | + | 8.95516i | −0.868554 | + | 0.878126i | ||||
\(105\) | −3.22082 | − | 0.877571i | −0.314320 | − | 0.0856421i | ||||
\(106\) | 0.581062 | − | 1.67036i | 0.0564378 | − | 0.162240i | ||||
\(107\) | 9.38434 | + | 3.68308i | 0.907219 | + | 0.356057i | 0.772639 | − | 0.634846i | \(-0.218936\pi\) |
0.134580 | + | 0.990903i | \(0.457032\pi\) | |||||||
\(108\) | −0.584282 | − | 3.78264i | −0.0562225 | − | 0.363984i | ||||
\(109\) | −6.27344 | − | 15.9845i | −0.600886 | − | 1.53103i | −0.830075 | − | 0.557652i | \(-0.811703\pi\) |
0.229189 | − | 0.973382i | \(-0.426393\pi\) | |||||||
\(110\) | 9.09684 | + | 20.7467i | 0.867349 | + | 1.97812i | ||||
\(111\) | −0.535125 | + | 0.671025i | −0.0507918 | + | 0.0636909i | ||||
\(112\) | 4.97404 | + | 9.34125i | 0.470003 | + | 0.882665i | ||||
\(113\) | −2.78091 | − | 3.48715i | −0.261606 | − | 0.328043i | 0.633630 | − | 0.773636i | \(-0.281564\pi\) |
−0.895236 | + | 0.445593i | \(0.852993\pi\) | |||||||
\(114\) | −1.14223 | + | 2.17080i | −0.106980 | + | 0.203314i | ||||
\(115\) | −8.18313 | − | 7.59283i | −0.763081 | − | 0.708035i | ||||
\(116\) | 2.53021 | − | 8.31040i | 0.234924 | − | 0.771601i | ||||
\(117\) | 11.1634 | − | 6.44517i | 1.03205 | − | 0.595856i | ||||
\(118\) | 3.21382 | + | 0.356167i | 0.295857 | + | 0.0327878i | ||||
\(119\) | 6.68238 | + | 0.781437i | 0.612573 | + | 0.0716342i | ||||
\(120\) | 1.91521 | + | 3.01127i | 0.174834 | + | 0.274891i | ||||
\(121\) | 4.39012 | − | 4.07344i | 0.399102 | − | 0.370313i | ||||
\(122\) | 11.2044 | − | 3.02416i | 1.01440 | − | 0.273794i | ||||
\(123\) | −0.0344955 | − | 0.228863i | −0.00311036 | − | 0.0206359i | ||||
\(124\) | −3.63975 | + | 5.38066i | −0.326859 | + | 0.483197i | ||||
\(125\) | −19.3361 | + | 4.41334i | −1.72947 | + | 0.394741i | ||||
\(126\) | −2.38484 | − | 10.5648i | −0.212459 | − | 0.941183i | ||||
\(127\) | 1.96231 | + | 0.447885i | 0.174127 | + | 0.0397434i | 0.308695 | − | 0.951161i | \(-0.400108\pi\) |
−0.134568 | + | 0.990904i | \(0.542965\pi\) | |||||||
\(128\) | 2.78823 | − | 10.9648i | 0.246447 | − | 0.969156i | ||||
\(129\) | 2.34809 | + | 1.35567i | 0.206738 | + | 0.119360i | ||||
\(130\) | −14.4980 | + | 19.7193i | −1.27156 | + | 1.72950i | ||||
\(131\) | 18.1717 | + | 12.3893i | 1.58767 | + | 1.08246i | 0.950046 | + | 0.312110i | \(0.101036\pi\) |
0.637626 | + | 0.770346i | \(0.279917\pi\) | |||||||
\(132\) | 1.66102 | − | 2.09853i | 0.144573 | − | 0.182654i | ||||
\(133\) | −5.70699 | + | 12.9317i | −0.494859 | + | 1.12132i | ||||
\(134\) | −8.25744 | + | 13.1951i | −0.713334 | + | 1.13988i | ||||
\(135\) | −2.19222 | − | 7.10699i | −0.188676 | − | 0.611672i | ||||
\(136\) | −4.72135 | − | 5.42588i | −0.404852 | − | 0.465265i | ||||
\(137\) | −0.179640 | + | 2.39713i | −0.0153477 | + | 0.204801i | 0.984258 | + | 0.176735i | \(0.0565537\pi\) |
−0.999606 | + | 0.0280652i | \(0.991065\pi\) | |||||||
\(138\) | −0.339014 | + | 1.27453i | −0.0288588 | + | 0.108495i | ||||
\(139\) | −16.6451 | − | 8.01584i | −1.41182 | − | 0.679894i | −0.436295 | − | 0.899804i | \(-0.643710\pi\) |
−0.975520 | + | 0.219909i | \(0.929424\pi\) | |||||||
\(140\) | 12.2023 | + | 16.5529i | 1.03128 | + | 1.39897i | ||||
\(141\) | −1.60800 | + | 0.774371i | −0.135418 | + | 0.0652138i | ||||
\(142\) | −2.82340 | − | 14.7742i | −0.236934 | − | 1.23982i | ||||
\(143\) | 17.5397 | + | 5.41028i | 1.46674 | + | 0.452430i | ||||
\(144\) | −5.71577 | + | 10.0692i | −0.476314 | + | 0.839100i | ||||
\(145\) | 2.51587 | − | 16.6917i | 0.208932 | − | 1.38617i | ||||
\(146\) | −7.56712 | + | 0.866611i | −0.626260 | + | 0.0717212i | ||||
\(147\) | 0.651555 | + | 2.17723i | 0.0537393 | + | 0.179575i | ||||
\(148\) | 5.15030 | − | 1.19533i | 0.423352 | − | 0.0982558i | ||||
\(149\) | 8.44228 | + | 1.27247i | 0.691619 | + | 0.104245i | 0.485441 | − | 0.874270i | \(-0.338659\pi\) |
0.206178 | + | 0.978514i | \(0.433897\pi\) | |||||||
\(150\) | 3.03230 | + | 3.51060i | 0.247586 | + | 0.286640i | ||||
\(151\) | −5.90466 | + | 19.1424i | −0.480514 | + | 1.55779i | 0.313315 | + | 0.949649i | \(0.398560\pi\) |
−0.793830 | + | 0.608140i | \(0.791916\pi\) | |||||||
\(152\) | 13.8168 | − | 6.11856i | 1.12069 | − | 0.496281i | ||||
\(153\) | 3.19369 | + | 6.63177i | 0.258195 | + | 0.536147i | ||||
\(154\) | 8.71799 | − | 12.7216i | 0.702515 | − | 1.02514i | ||||
\(155\) | −5.47688 | + | 11.3729i | −0.439913 | + | 0.913490i | ||||
\(156\) | 2.86085 | + | 0.420521i | 0.229052 | + | 0.0336686i | ||||
\(157\) | 5.16129 | + | 0.386785i | 0.411916 | + | 0.0308688i | 0.279077 | − | 0.960269i | \(-0.409972\pi\) |
0.132839 | + | 0.991138i | \(0.457591\pi\) | |||||||
\(158\) | 0.425632 | + | 0.801787i | 0.0338615 | + | 0.0637867i | ||||
\(159\) | −0.387967 | + | 0.119672i | −0.0307678 | + | 0.00949061i | ||||
\(160\) | 2.26183 | − | 21.8676i | 0.178814 | − | 1.72879i | ||||
\(161\) | −1.44431 | + | 7.46119i | −0.113827 | + | 0.588024i | ||||
\(162\) | 8.04772 | − | 8.07718i | 0.632289 | − | 0.634603i | ||||
\(163\) | −8.51623 | + | 12.4910i | −0.667043 | + | 0.978372i | 0.332337 | + | 0.943161i | \(0.392163\pi\) |
−0.999380 | + | 0.0352112i | \(0.988790\pi\) | |||||||
\(164\) | −0.708374 | + | 1.23736i | −0.0553147 | + | 0.0966214i | ||||
\(165\) | 2.60028 | − | 4.50381i | 0.202431 | − | 0.350621i | ||||
\(166\) | 6.21411 | − | 4.60378i | 0.482308 | − | 0.357322i | ||||
\(167\) | −3.13516 | + | 13.7360i | −0.242606 | + | 1.06293i | 0.696029 | + | 0.718014i | \(0.254948\pi\) |
−0.938635 | + | 0.344912i | \(0.887909\pi\) | |||||||
\(168\) | 1.05136 | − | 2.19028i | 0.0811143 | − | 0.168984i | ||||
\(169\) | 1.52013 | + | 6.66012i | 0.116933 | + | 0.512317i | ||||
\(170\) | −10.6101 | − | 9.09702i | −0.813755 | − | 0.697710i | ||||
\(171\) | −15.2918 | + | 2.30486i | −1.16939 | + | 0.176257i | ||||
\(172\) | −6.15891 | − | 15.5256i | −0.469612 | − | 1.18382i | ||||
\(173\) | −5.33590 | − | 5.75073i | −0.405681 | − | 0.437220i | 0.496856 | − | 0.867833i | \(-0.334488\pi\) |
−0.902537 | + | 0.430613i | \(0.858297\pi\) | |||||||
\(174\) | −1.88117 | + | 0.662109i | −0.142611 | + | 0.0501943i | ||||
\(175\) | 18.8219 | + | 18.9811i | 1.42281 | + | 1.43484i | ||||
\(176\) | −16.0464 | + | 3.78605i | −1.20954 | + | 0.285384i | ||||
\(177\) | −0.371158 | − | 0.642864i | −0.0278979 | − | 0.0483206i | ||||
\(178\) | 2.22922 | − | 5.13499i | 0.167087 | − | 0.384884i | ||||
\(179\) | 7.44187 | − | 8.02043i | 0.556232 | − | 0.599475i | −0.390855 | − | 0.920452i | \(-0.627821\pi\) |
0.947087 | + | 0.320977i | \(0.104011\pi\) | |||||||
\(180\) | −8.14309 | + | 20.9732i | −0.606950 | + | 1.56325i | ||||
\(181\) | −1.18333 | + | 0.943677i | −0.0879565 | + | 0.0701429i | −0.666481 | − | 0.745522i | \(-0.732200\pi\) |
0.578524 | + | 0.815665i | \(0.303629\pi\) | |||||||
\(182\) | 16.6129 | + | 1.28481i | 1.23143 | + | 0.0952366i | ||||
\(183\) | −2.08299 | − | 1.66113i | −0.153979 | − | 0.122794i | ||||
\(184\) | 6.51035 | − | 4.86019i | 0.479950 | − | 0.358298i | ||||
\(185\) | 9.56363 | − | 3.75345i | 0.703132 | − | 0.275959i | ||||
\(186\) | 1.49016 | − | 0.0584840i | 0.109264 | − | 0.00428826i | ||||
\(187\) | −3.82923 | + | 9.75673i | −0.280021 | + | 0.713483i | ||||
\(188\) | 10.7277 | + | 2.40733i | 0.782398 | + | 0.175572i | ||||
\(189\) | −3.31886 | + | 3.82390i | −0.241412 | + | 0.278147i | ||||
\(190\) | 24.8337 | − | 15.6674i | 1.80163 | − | 1.13663i | ||||
\(191\) | 4.22584 | − | 0.316683i | 0.305771 | − | 0.0229143i | 0.0790388 | − | 0.996872i | \(-0.474815\pi\) |
0.226732 | + | 0.973957i | \(0.427196\pi\) | |||||||
\(192\) | −2.40721 | + | 0.975338i | −0.173725 | + | 0.0703890i | ||||
\(193\) | 14.7138 | − | 10.0317i | 1.05913 | − | 0.722099i | 0.0971593 | − | 0.995269i | \(-0.469024\pi\) |
0.961966 | + | 0.273169i | \(0.0880720\pi\) | |||||||
\(194\) | −1.23755 | − | 0.0440421i | −0.0888506 | − | 0.00316204i | ||||
\(195\) | 5.61881 | 0.402372 | ||||||||
\(196\) | 5.17687 | − | 13.0077i | 0.369777 | − | 0.929121i | ||||
\(197\) | 17.8932 | 1.27484 | 0.637420 | − | 0.770517i | \(-0.280002\pi\) | ||||
0.637420 | + | 0.770517i | \(0.280002\pi\) | |||||||
\(198\) | 16.8620 | + | 0.600090i | 1.19833 | + | 0.0426466i | ||||
\(199\) | 1.36717 | − | 0.932124i | 0.0969164 | − | 0.0660765i | −0.513892 | − | 0.857855i | \(-0.671797\pi\) |
0.610809 | + | 0.791778i | \(0.290844\pi\) | |||||||
\(200\) | −1.22499 | − | 28.5504i | −0.0866199 | − | 2.01882i | ||||
\(201\) | 3.56347 | − | 0.267045i | 0.251347 | − | 0.0188359i | ||||
\(202\) | −23.5829 | + | 14.8783i | −1.65929 | + | 1.04683i | ||||
\(203\) | −10.5523 | + | 4.55111i | −0.740625 | + | 0.319425i | ||||
\(204\) | −0.361537 | + | 1.61111i | −0.0253127 | + | 0.112800i | ||||
\(205\) | −1.01218 | + | 2.57899i | −0.0706938 | + | 0.180125i | ||||
\(206\) | 2.40571 | − | 0.0944164i | 0.167614 | − | 0.00657830i | ||||
\(207\) | −7.73973 | + | 3.03762i | −0.537949 | + | 0.211129i | ||||
\(208\) | −12.2110 | − | 12.9690i | −0.846680 | − | 0.899236i | ||||
\(209\) | −17.2164 | − | 13.7296i | −1.19088 | − | 0.949698i | ||||
\(210\) | 1.40229 | − | 4.50791i | 0.0967670 | − | 0.311075i | ||||
\(211\) | 16.5851 | − | 13.2262i | 1.14177 | − | 0.910528i | 0.144885 | − | 0.989449i | \(-0.453719\pi\) |
0.996881 | + | 0.0789209i | \(0.0251475\pi\) | |||||||
\(212\) | 2.33153 | + | 0.905241i | 0.160130 | + | 0.0621722i | ||||
\(213\) | −2.34870 | + | 2.53130i | −0.160931 | + | 0.173442i | ||||
\(214\) | −5.67738 | + | 13.0778i | −0.388098 | + | 0.893981i | ||||
\(215\) | −16.2279 | − | 28.1075i | −1.10673 | − | 1.91691i | ||||
\(216\) | 5.37546 | − | 0.635519i | 0.365754 | − | 0.0432416i | ||||
\(217\) | 8.54347 | − | 0.926198i | 0.579969 | − | 0.0628744i | ||||
\(218\) | 22.9067 | − | 8.06239i | 1.55144 | − | 0.546054i | ||||
\(219\) | 1.18931 | + | 1.28177i | 0.0803662 | + | 0.0866141i | ||||
\(220\) | −29.7792 | + | 11.8132i | −2.00772 | + | 0.796447i | ||||
\(221\) | −11.1977 | + | 1.68779i | −0.753241 | + | 0.113533i | ||||
\(222\) | −0.921457 | − | 0.790053i | −0.0618441 | − | 0.0530249i | ||||
\(223\) | 2.60892 | + | 11.4304i | 0.174706 | + | 0.765439i | 0.984019 | + | 0.178061i | \(0.0569825\pi\) |
−0.809313 | + | 0.587378i | \(0.800160\pi\) | |||||||
\(224\) | −13.4523 | + | 6.56007i | −0.898822 | + | 0.438313i | ||||
\(225\) | −6.50767 | + | 28.5120i | −0.433845 | + | 1.90080i | ||||
\(226\) | 5.06832 | − | 3.75491i | 0.337140 | − | 0.249773i | ||||
\(227\) | −6.40484 | + | 11.0935i | −0.425104 | + | 0.736302i | −0.996430 | − | 0.0844212i | \(-0.973096\pi\) |
0.571326 | + | 0.820723i | \(0.306429\pi\) | |||||||
\(228\) | −3.01059 | − | 1.72353i | −0.199381 | − | 0.114143i | ||||
\(229\) | −6.62568 | + | 9.71809i | −0.437837 | + | 0.642189i | −0.980213 | − | 0.197947i | \(-0.936573\pi\) |
0.542375 | + | 0.840136i | \(0.317525\pi\) | |||||||
\(230\) | 11.1427 | − | 11.1835i | 0.734727 | − | 0.737416i | ||||
\(231\) | −3.53852 | + | 0.117482i | −0.232818 | + | 0.00772972i | ||||
\(232\) | 11.6180 | + | 3.99398i | 0.762758 | + | 0.262218i | ||||
\(233\) | −0.459933 | + | 0.141871i | −0.0301312 | + | 0.00929425i | −0.309784 | − | 0.950807i | \(-0.600257\pi\) |
0.279653 | + | 0.960101i | \(0.409781\pi\) | |||||||
\(234\) | 8.54759 | + | 16.1016i | 0.558774 | + | 1.05259i | ||||
\(235\) | 21.3042 | + | 1.59653i | 1.38974 | + | 0.104146i | ||||
\(236\) | −0.665025 | + | 4.52424i | −0.0432895 | + | 0.294503i | ||||
\(237\) | 0.0904189 | − | 0.187757i | 0.00587334 | − | 0.0121961i | ||||
\(238\) | −1.44053 | + | 9.40503i | −0.0933755 | + | 0.609638i | ||||
\(239\) | −2.11319 | − | 4.38808i | −0.136691 | − | 0.283841i | 0.821376 | − | 0.570388i | \(-0.193207\pi\) |
−0.958066 | + | 0.286546i | \(0.907493\pi\) | |||||||
\(240\) | −4.35222 | + | 2.55534i | −0.280935 | + | 0.164946i | ||||
\(241\) | 3.05055 | − | 9.88965i | 0.196503 | − | 0.637048i | −0.802671 | − | 0.596422i | \(-0.796589\pi\) |
0.999174 | − | 0.0406262i | \(-0.0129353\pi\) | |||||||
\(242\) | 5.53626 | + | 6.40953i | 0.355884 | + | 0.412020i | ||||
\(243\) | −8.26545 | − | 1.24582i | −0.530229 | − | 0.0799192i | ||||
\(244\) | 3.71054 | + | 15.9875i | 0.237543 | + | 1.02349i | ||||
\(245\) | 6.27667 | − | 26.4702i | 0.401001 | − | 1.69112i | ||||
\(246\) | 0.325191 | − | 0.0372419i | 0.0207334 | − | 0.00237446i | ||||
\(247\) | 3.54596 | − | 23.5259i | 0.225624 | − | 1.49692i | ||||
\(248\) | −7.42152 | − | 5.41476i | −0.471267 | − | 0.343838i | ||||
\(249\) | −1.69655 | − | 0.523316i | −0.107514 | − | 0.0331638i | ||||
\(250\) | −5.26489 | − | 27.5500i | −0.332981 | − | 1.74242i | ||||
\(251\) | 9.65234 | − | 4.64832i | 0.609250 | − | 0.293400i | −0.103706 | − | 0.994608i | \(-0.533070\pi\) |
0.712956 | + | 0.701208i | \(0.247356\pi\) | |||||||
\(252\) | 15.0513 | − | 2.83916i | 0.948144 | − | 0.178851i | ||||
\(253\) | −10.6669 | − | 5.13692i | −0.670623 | − | 0.322955i | ||||
\(254\) | −0.731704 | + | 2.75085i | −0.0459112 | + | 0.172603i | ||||
\(255\) | −0.239770 | + | 3.19951i | −0.0150150 | + | 0.200361i | ||||
\(256\) | 15.3564 | + | 4.49216i | 0.959778 | + | 0.280760i | ||||
\(257\) | 4.13570 | + | 13.4076i | 0.257978 | + | 0.836344i | 0.988205 | + | 0.153139i | \(0.0489382\pi\) |
−0.730227 | + | 0.683205i | \(0.760586\pi\) | |||||||
\(258\) | −2.03410 | + | 3.25042i | −0.126638 | + | 0.202362i | ||||
\(259\) | −5.61005 | − | 4.17702i | −0.348592 | − | 0.259547i | ||||
\(260\) | −27.1405 | − | 21.4821i | −1.68318 | − | 1.33226i | ||||
\(261\) | −10.3881 | − | 7.08247i | −0.643006 | − | 0.438394i | ||||
\(262\) | −18.4240 | + | 25.0593i | −1.13824 | + | 1.54817i | ||||
\(263\) | 19.5773 | + | 11.3029i | 1.20719 | + | 0.696970i | 0.962144 | − | 0.272543i | \(-0.0878645\pi\) |
0.245043 | + | 0.969512i | \(0.421198\pi\) | |||||||
\(264\) | 2.88235 | + | 2.45310i | 0.177397 | + | 0.150978i | ||||
\(265\) | 4.73816 | + | 1.08146i | 0.291063 | + | 0.0664333i | ||||
\(266\) | −17.9896 | − | 8.71623i | −1.10301 | − | 0.534427i | ||||
\(267\) | −1.25291 | + | 0.285969i | −0.0766770 | + | 0.0175010i | ||||
\(268\) | −18.2335 | − | 12.3341i | −1.11379 | − | 0.753424i | ||||
\(269\) | −1.38742 | − | 9.20491i | −0.0845923 | − | 0.561233i | −0.990474 | − | 0.137702i | \(-0.956028\pi\) |
0.905881 | − | 0.423531i | \(-0.139210\pi\) | |||||||
\(270\) | 10.1547 | − | 2.74084i | 0.617996 | − | 0.166802i | ||||
\(271\) | −5.65946 | + | 5.25121i | −0.343788 | + | 0.318988i | −0.833102 | − | 0.553119i | \(-0.813437\pi\) |
0.489315 | + | 0.872107i | \(0.337247\pi\) | |||||||
\(272\) | 7.90597 | − | 6.39986i | 0.479370 | − | 0.388049i | ||||
\(273\) | −2.02148 | − | 3.24745i | −0.122346 | − | 0.196545i | ||||
\(274\) | −3.37887 | − | 0.374458i | −0.204125 | − | 0.0226219i | ||||
\(275\) | −36.0645 | + | 20.8218i | −2.17477 | + | 1.25560i | ||||
\(276\) | −1.78426 | − | 0.543241i | −0.107400 | − | 0.0326992i | ||||
\(277\) | 15.8183 | + | 14.6773i | 0.950431 | + | 0.881871i | 0.993106 | − | 0.117218i | \(-0.0373975\pi\) |
−0.0426750 | + | 0.999089i | \(0.513588\pi\) | |||||||
\(278\) | 12.1661 | − | 23.1216i | 0.729677 | − | 1.38674i | ||||
\(279\) | 5.86192 | + | 7.35061i | 0.350944 | + | 0.440070i | ||||
\(280\) | −24.0083 | + | 16.4132i | −1.43477 | + | 0.980877i | ||||
\(281\) | −3.70478 | + | 4.64564i | −0.221008 | + | 0.277136i | −0.879958 | − | 0.475051i | \(-0.842430\pi\) |
0.658950 | + | 0.752187i | \(0.271001\pi\) | |||||||
\(282\) | −1.01355 | − | 2.31156i | −0.0603563 | − | 0.137652i | ||||
\(283\) | 4.98617 | + | 12.7045i | 0.296397 | + | 0.755207i | 0.999046 | + | 0.0436705i | \(0.0139052\pi\) |
−0.702649 | + | 0.711537i | \(0.748000\pi\) | |||||||
\(284\) | 21.0227 | − | 3.24725i | 1.24747 | − | 0.192689i | ||||
\(285\) | −6.27489 | − | 2.46271i | −0.371692 | − | 0.145879i | ||||
\(286\) | −8.52866 | + | 24.5171i | −0.504310 | + | 1.44972i | ||||
\(287\) | 1.85471 | − | 0.342845i | 0.109480 | − | 0.0202375i | ||||
\(288\) | −13.9435 | − | 8.58466i | −0.821629 | − | 0.505856i | ||||
\(289\) | 0.787176 | + | 10.5041i | 0.0463045 | + | 0.617890i | ||||
\(290\) | 23.4642 | + | 4.39528i | 1.37786 | + | 0.258100i | ||||
\(291\) | 0.160143 | + | 0.234886i | 0.00938773 | + | 0.0137693i | ||||
\(292\) | −0.844190 | − | 10.7383i | −0.0494025 | − | 0.628414i | ||||
\(293\) | − | 19.8296i | − | 1.15846i | −0.815165 | − | 0.579229i | \(-0.803354\pi\) | ||
0.815165 | − | 0.579229i | \(-0.196646\pi\) | |||||||
\(294\) | −3.10989 | + | 0.811345i | −0.181372 | + | 0.0473186i | ||||
\(295\) | 8.88577i | 0.517350i | ||||||||
\(296\) | 1.43034 | + | 7.33913i | 0.0831368 | + | 0.426578i | ||||
\(297\) | −4.44346 | − | 6.51736i | −0.257836 | − | 0.378176i | ||||
\(298\) | −2.22303 | + | 11.8676i | −0.128777 | + | 0.687474i | ||||
\(299\) | −0.955916 | − | 12.7558i | −0.0552820 | − | 0.737687i | ||||
\(300\) | −5.11412 | + | 4.10903i | −0.295264 | + | 0.237235i | ||||
\(301\) | −10.4067 | + | 19.4913i | −0.599832 | + | 1.12346i | ||||
\(302\) | −26.7574 | − | 9.30798i | −1.53971 | − | 0.535614i | ||||
\(303\) | 5.95884 | + | 2.33867i | 0.342327 | + | 0.134353i | ||||
\(304\) | 7.95253 | + | 19.8353i | 0.456109 | + | 1.13763i | ||||
\(305\) | 11.6514 | + | 29.6873i | 0.667158 | + | 1.69989i | ||||
\(306\) | −9.53344 | + | 4.18014i | −0.544990 | + | 0.238963i | ||||
\(307\) | −9.29987 | + | 11.6617i | −0.530772 | + | 0.665566i | −0.972857 | − | 0.231406i | \(-0.925667\pi\) |
0.442086 | + | 0.896973i | \(0.354239\pi\) | |||||||
\(308\) | 17.5413 | + | 12.9612i | 0.999506 | + | 0.738531i | ||||
\(309\) | −0.344606 | − | 0.432123i | −0.0196040 | − | 0.0245826i | ||||
\(310\) | −15.7980 | − | 8.31260i | −0.897266 | − | 0.472124i | ||||
\(311\) | 2.97843 | + | 2.76358i | 0.168891 | + | 0.156708i | 0.760090 | − | 0.649817i | \(-0.225155\pi\) |
−0.591199 | + | 0.806526i | \(0.701345\pi\) | |||||||
\(312\) | −0.738224 | + | 4.02215i | −0.0417937 | + | 0.227709i | ||||
\(313\) | −18.4863 | + | 10.6731i | −1.04491 | + | 0.603278i | −0.921219 | − | 0.389043i | \(-0.872806\pi\) |
−0.123688 | + | 0.992321i | \(0.539472\pi\) | |||||||
\(314\) | −0.806251 | + | 7.27510i | −0.0454994 | + | 0.410557i | ||||
\(315\) | 28.1338 | − | 9.71164i | 1.58516 | − | 0.547189i | ||||
\(316\) | −1.15459 | + | 0.561226i | −0.0649507 | + | 0.0315714i | ||||
\(317\) | −8.74605 | + | 8.11514i | −0.491227 | + | 0.455792i | −0.886471 | − | 0.462784i | \(-0.846850\pi\) |
0.395244 | + | 0.918576i | \(0.370660\pi\) | |||||||
\(318\) | −0.149621 | − | 0.554340i | −0.00839032 | − | 0.0310859i | ||||
\(319\) | −2.66829 | − | 17.7029i | −0.149396 | − | 0.991175i | ||||
\(320\) | 30.7921 | + | 4.29658i | 1.72133 | + | 0.240186i | ||||
\(321\) | 3.19092 | − | 0.728307i | 0.178100 | − | 0.0406501i | ||||
\(322\) | −10.4724 | − | 2.41655i | −0.583604 | − | 0.134669i | ||||
\(323\) | 13.2450 | + | 3.02308i | 0.736971 | + | 0.168209i | ||||
\(324\) | 11.0108 | + | 11.7803i | 0.611714 | + | 0.654459i | ||||
\(325\) | −38.9650 | − | 22.4964i | −2.16139 | − | 1.24788i | ||||
\(326\) | −17.2254 | − | 12.6644i | −0.954029 | − | 0.701417i | ||||
\(327\) | −4.60621 | − | 3.14046i | −0.254724 | − | 0.173668i | ||||
\(328\) | −1.71315 | − | 1.06339i | −0.0945929 | − | 0.0587161i | ||||
\(329\) | −6.74190 | − | 12.8874i | −0.371693 | − | 0.710504i | ||||
\(330\) | 6.23454 | + | 3.90155i | 0.343200 | + | 0.214773i | ||||
\(331\) | −4.75886 | − | 15.4278i | −0.261570 | − | 0.847990i | −0.987142 | − | 0.159844i | \(-0.948901\pi\) |
0.725572 | − | 0.688146i | \(-0.241575\pi\) | |||||||
\(332\) | 6.19405 | + | 9.01407i | 0.339943 | + | 0.494712i | ||||
\(333\) | 0.571845 | − | 7.63074i | 0.0313369 | − | 0.418162i | ||||
\(334\) | −19.2557 | − | 5.12187i | −1.05363 | − | 0.280256i | ||||
\(335\) | −38.5394 | − | 18.5596i | −2.10563 | − | 1.01402i | ||||
\(336\) | 3.04268 | + | 1.59608i | 0.165992 | + | 0.0870730i | ||||
\(337\) | 26.6951 | − | 12.8557i | 1.45417 | − | 0.700293i | 0.470859 | − | 0.882209i | \(-0.343944\pi\) |
0.983314 | + | 0.181916i | \(0.0582298\pi\) | |||||||
\(338\) | −9.48933 | + | 1.81344i | −0.516151 | + | 0.0986380i | ||||
\(339\) | −1.38373 | − | 0.426825i | −0.0751540 | − | 0.0231819i | ||||
\(340\) | 13.3907 | − | 14.5379i | 0.726210 | − | 0.788426i | ||||
\(341\) | −1.99532 | + | 13.2381i | −0.108053 | + | 0.716884i | ||||
\(342\) | −2.48836 | − | 21.7280i | −0.134555 | − | 1.17492i | ||||
\(343\) | −17.5568 | + | 5.89551i | −0.947981 | + | 0.318328i | ||||
\(344\) | 22.2524 | − | 7.92360i | 1.19977 | − | 0.427212i | ||||
\(345\) | −3.58375 | − | 0.540163i | −0.192942 | − | 0.0290814i | ||||
\(346\) | 8.39600 | − | 7.25208i | 0.451372 | − | 0.389874i | ||||
\(347\) | 4.42306 | − | 14.3392i | 0.237443 | − | 0.769770i | −0.755912 | − | 0.654673i | \(-0.772806\pi\) |
0.993354 | − | 0.115096i | \(-0.0367177\pi\) | |||||||
\(348\) | −0.841152 | − | 2.69199i | −0.0450905 | − | 0.144306i | ||||
\(349\) | −5.26829 | − | 10.9397i | −0.282005 | − | 0.585590i | 0.711063 | − | 0.703128i | \(-0.248214\pi\) |
−0.993068 | + | 0.117538i | \(0.962500\pi\) | |||||||
\(350\) | −27.7731 | + | 25.6467i | −1.48454 | + | 1.37087i | ||||
\(351\) | 3.69773 | − | 7.67841i | 0.197370 | − | 0.409843i | ||||
\(352\) | −4.54380 | − | 22.8691i | −0.242185 | − | 1.21893i | ||||
\(353\) | 20.0511 | + | 1.50262i | 1.06721 | + | 0.0799766i | 0.596738 | − | 0.802436i | \(-0.296463\pi\) |
0.470476 | + | 0.882413i | \(0.344082\pi\) | |||||||
\(354\) | 0.927240 | − | 0.492230i | 0.0492823 | − | 0.0261617i | ||||
\(355\) | 39.4984 | − | 12.1836i | 2.09636 | − | 0.646641i | ||||
\(356\) | 7.14526 | + | 3.40887i | 0.378698 | + | 0.180670i | ||||
\(357\) | 1.93545 | − | 1.01251i | 0.102435 | − | 0.0535878i | ||||
\(358\) | 10.9611 | + | 10.9211i | 0.579313 | + | 0.577200i | ||||
\(359\) | 12.7045 | − | 18.6341i | 0.670519 | − | 0.983471i | −0.328718 | − | 0.944428i | \(-0.606617\pi\) |
0.999238 | − | 0.0390429i | \(-0.0124309\pi\) | |||||||
\(360\) | −29.2323 | − | 12.5637i | −1.54068 | − | 0.662164i | ||||
\(361\) | −4.77134 | + | 8.26421i | −0.251123 | + | 0.434958i | ||||
\(362\) | −1.27420 | − | 1.71989i | −0.0669703 | − | 0.0903955i | ||||
\(363\) | 0.432657 | − | 1.89559i | 0.0227086 | − | 0.0994929i | ||||
\(364\) | −2.65144 | + | 23.4147i | −0.138973 | + | 1.22726i | ||||
\(365\) | −4.65751 | − | 20.4059i | −0.243785 | − | 1.06809i | ||||
\(366\) | 2.45247 | − | 2.86038i | 0.128193 | − | 0.149514i | ||||
\(367\) | 9.73509 | − | 1.46733i | 0.508168 | − | 0.0765939i | 0.110046 | − | 0.993927i | \(-0.464900\pi\) |
0.398122 | + | 0.917333i | \(0.369662\pi\) | |||||||
\(368\) | 6.54155 | + | 9.44566i | 0.341002 | + | 0.492389i | ||||
\(369\) | 1.40355 | + | 1.51267i | 0.0730661 | + | 0.0787466i | ||||
\(370\) | 4.82379 | + | 13.7052i | 0.250777 | + | 0.712502i | ||||
\(371\) | −1.07961 | − | 3.12754i | −0.0560507 | − | 0.162374i | ||||
\(372\) | 0.00770494 | + | 2.10902i | 0.000399483 | + | 0.109347i | ||||
\(373\) | 4.03501 | + | 6.98884i | 0.208925 | + | 0.361868i | 0.951376 | − | 0.308032i | \(-0.0996703\pi\) |
−0.742451 | + | 0.669900i | \(0.766337\pi\) | |||||||
\(374\) | −13.5968 | − | 5.90267i | −0.703072 | − | 0.305220i | ||||
\(375\) | −4.37972 | + | 4.72021i | −0.226168 | + | 0.243751i | ||||
\(376\) | −3.94190 | + | 15.0406i | −0.203288 | + | 0.775659i | ||||
\(377\) | 15.1228 | − | 12.0600i | 0.778863 | − | 0.621122i | ||||
\(378\) | −5.23745 | − | 4.88294i | −0.269386 | − | 0.251151i | ||||
\(379\) | −26.5911 | − | 21.2057i | −1.36589 | − | 1.08926i | −0.986452 | − | 0.164049i | \(-0.947544\pi\) |
−0.379442 | − | 0.925215i | \(-0.623884\pi\) | |||||||
\(380\) | 20.8940 | + | 35.8860i | 1.07184 | + | 1.84091i | ||||
\(381\) | 0.608299 | − | 0.238740i | 0.0311641 | − | 0.0122310i | ||||
\(382\) | 0.235024 | + | 5.98838i | 0.0120249 | + | 0.306392i | ||||
\(383\) | 5.62801 | − | 14.3399i | 0.287578 | − | 0.732736i | −0.711957 | − | 0.702223i | \(-0.752191\pi\) |
0.999534 | − | 0.0305127i | \(-0.00971401\pi\) | |||||||
\(384\) | −1.25739 | − | 3.45121i | −0.0641658 | − | 0.176119i | ||||
\(385\) | 37.3857 | + | 19.9608i | 1.90535 | + | 1.01730i | ||||
\(386\) | 13.4380 | + | 21.2999i | 0.683974 | + | 1.08414i | ||||
\(387\) | −24.1060 | + | 1.80650i | −1.22538 | + | 0.0918294i | ||||
\(388\) | 0.124491 | − | 1.74683i | 0.00632008 | − | 0.0886819i | ||||
\(389\) | −0.997661 | + | 0.680194i | −0.0505834 | + | 0.0344872i | −0.588348 | − | 0.808608i | \(-0.700221\pi\) |
0.537764 | + | 0.843095i | \(0.319269\pi\) | |||||||
\(390\) | −0.282613 | + | 7.94117i | −0.0143106 | + | 0.402117i | ||||
\(391\) | 7.30431 | 0.369395 | ||||||||
\(392\) | 18.1236 | + | 7.97083i | 0.915381 | + | 0.402588i | ||||
\(393\) | 7.14038 | 0.360185 | ||||||||
\(394\) | −0.899986 | + | 25.2888i | −0.0453406 | + | 1.27403i | ||||
\(395\) | −2.06109 | + | 1.40523i | −0.103705 | + | 0.0707048i | ||||
\(396\) | −1.69624 | + | 23.8012i | −0.0852391 | + | 1.19606i | ||||
\(397\) | 11.4648 | − | 0.859165i | 0.575400 | − | 0.0431202i | 0.216147 | − | 0.976361i | \(-0.430651\pi\) |
0.359252 | + | 0.933241i | \(0.383032\pi\) | |||||||
\(398\) | 1.24862 | + | 1.97914i | 0.0625878 | + | 0.0992052i | ||||
\(399\) | 0.834169 | + | 4.51265i | 0.0417607 | + | 0.225915i | ||||
\(400\) | 40.4125 | − | 0.295284i | 2.02062 | − | 0.0147642i | ||||
\(401\) | 7.15431 | − | 18.2289i | 0.357269 | − | 0.910308i | −0.633376 | − | 0.773844i | \(-0.718331\pi\) |
0.990645 | − | 0.136463i | \(-0.0435735\pi\) | |||||||
\(402\) | 0.198186 | + | 5.04974i | 0.00988461 | + | 0.251858i | ||||
\(403\) | −13.4645 | + | 5.28442i | −0.670714 | + | 0.263236i | ||||
\(404\) | −19.8416 | − | 34.0785i | −0.987157 | − | 1.69547i | ||||
\(405\) | 24.4973 | + | 19.5359i | 1.21728 | + | 0.970749i | ||||
\(406\) | −5.90142 | − | 15.1426i | −0.292882 | − | 0.751517i | ||||
\(407\) | 8.51902 | − | 6.79369i | 0.422272 | − | 0.336751i | ||||
\(408\) | −2.25882 | − | 0.592002i | −0.111828 | − | 0.0293085i | ||||
\(409\) | −23.0765 | + | 24.8706i | −1.14106 | + | 1.22977i | −0.171430 | + | 0.985196i | \(0.554839\pi\) |
−0.969630 | + | 0.244575i | \(0.921352\pi\) | |||||||
\(410\) | −3.59403 | − | 1.56025i | −0.177497 | − | 0.0770553i | ||||
\(411\) | 0.390219 | + | 0.675879i | 0.0192481 | + | 0.0333386i | ||||
\(412\) | 0.0124388 | + | 3.40479i | 0.000612817 | + | 0.167742i | ||||
\(413\) | 5.13562 | − | 3.19684i | 0.252707 | − | 0.157306i | ||||
\(414\) | −3.90384 | − | 11.0915i | −0.191863 | − | 0.545117i | ||||
\(415\) | 14.4553 | + | 15.5791i | 0.709584 | + | 0.764750i | ||||
\(416\) | 18.9435 | − | 16.6057i | 0.928780 | − | 0.814162i | ||||
\(417\) | −5.93100 | + | 0.893955i | −0.290443 | + | 0.0437772i | ||||
\(418\) | 20.2703 | − | 23.6417i | 0.991451 | − | 1.15635i | ||||
\(419\) | −7.06788 | − | 30.9664i | −0.345289 | − | 1.51281i | −0.787735 | − | 0.616014i | \(-0.788747\pi\) |
0.442447 | − | 0.896795i | \(-0.354111\pi\) | |||||||
\(420\) | 6.30058 | + | 2.20862i | 0.307437 | + | 0.107769i | ||||
\(421\) | 2.41292 | − | 10.5717i | 0.117599 | − | 0.515233i | −0.881476 | − | 0.472228i | \(-0.843450\pi\) |
0.999075 | − | 0.0430046i | \(-0.0136930\pi\) | |||||||
\(422\) | 17.8586 | + | 24.1053i | 0.869344 | + | 1.17343i | ||||
\(423\) | 7.95615 | − | 13.7805i | 0.386841 | − | 0.670029i | ||||
\(424\) | −1.39666 | + | 3.24966i | −0.0678280 | + | 0.157817i | ||||
\(425\) | 14.4729 | − | 21.2278i | 0.702036 | − | 1.02970i | ||||
\(426\) | −3.45940 | − | 3.44679i | −0.167609 | − | 0.166997i | ||||
\(427\) | 12.9663 | − | 17.4147i | 0.627481 | − | 0.842755i | ||||
\(428\) | −18.1976 | − | 8.68173i | −0.879613 | − | 0.419647i | ||||
\(429\) | 5.69446 | − | 1.75651i | 0.274931 | − | 0.0848051i | ||||
\(430\) | 40.5411 | − | 21.5214i | 1.95506 | − | 1.03785i | ||||
\(431\) | −6.63659 | − | 0.497344i | −0.319673 | − | 0.0239562i | −0.0860727 | − | 0.996289i | \(-0.527432\pi\) |
−0.233601 | + | 0.972333i | \(0.575051\pi\) | |||||||
\(432\) | 0.627818 | + | 7.62920i | 0.0302059 | + | 0.367060i | ||||
\(433\) | −9.68921 | + | 20.1198i | −0.465634 | + | 0.966898i | 0.527461 | + | 0.849579i | \(0.323144\pi\) |
−0.993094 | + | 0.117319i | \(0.962570\pi\) | |||||||
\(434\) | 0.879298 | + | 12.1212i | 0.0422076 | + | 0.581838i | ||||
\(435\) | −2.37784 | − | 4.93764i | −0.114009 | − | 0.236742i | ||||
\(436\) | 10.2426 | + | 32.7800i | 0.490530 | + | 1.56988i | ||||
\(437\) | −4.52331 | + | 14.6642i | −0.216379 | + | 0.701484i | ||||
\(438\) | −1.87137 | + | 1.61641i | −0.0894176 | + | 0.0772348i | ||||
\(439\) | −26.4226 | − | 3.98257i | −1.26108 | − | 0.190078i | −0.515733 | − | 0.856750i | \(-0.672480\pi\) |
−0.745352 | + | 0.666672i | \(0.767718\pi\) | |||||||
\(440\) | −15.1980 | − | 42.6817i | −0.724538 | − | 2.03477i | ||||
\(441\) | −15.7346 | − | 12.7662i | −0.749268 | − | 0.607916i | ||||
\(442\) | −1.82216 | − | 15.9109i | −0.0866715 | − | 0.756803i | ||||
\(443\) | −0.695872 | + | 4.61681i | −0.0330619 | + | 0.219351i | −0.999261 | − | 0.0384471i | \(-0.987759\pi\) |
0.966199 | + | 0.257798i | \(0.0829970\pi\) | |||||||
\(444\) | 1.16294 | − | 1.26257i | 0.0551908 | − | 0.0599191i | ||||
\(445\) | 14.7000 | + | 4.53436i | 0.696849 | + | 0.214949i | ||||
\(446\) | −16.2861 | + | 3.11232i | −0.771168 | + | 0.147372i | ||||
\(447\) | 2.49734 | − | 1.20266i | 0.118120 | − | 0.0568838i | ||||
\(448\) | −8.59485 | − | 19.3424i | −0.406068 | − | 0.913843i | ||||
\(449\) | 4.65862 | + | 2.24347i | 0.219854 | + | 0.105876i | 0.540569 | − | 0.841300i | \(-0.318209\pi\) |
−0.320715 | + | 0.947176i | \(0.603923\pi\) | |||||||
\(450\) | −39.9692 | − | 10.6315i | −1.88417 | − | 0.501174i | ||||
\(451\) | −0.219583 | + | 2.93014i | −0.0103398 | + | 0.137975i | ||||
\(452\) | 5.05197 | + | 7.35202i | 0.237624 | + | 0.345810i | ||||
\(453\) | 1.91702 | + | 6.21481i | 0.0900692 | + | 0.291997i | ||||
\(454\) | −15.3565 | − | 9.61006i | −0.720717 | − | 0.451022i | ||||
\(455\) | 1.51940 | + | 45.7640i | 0.0712304 | + | 2.14545i | ||||
\(456\) | 2.58732 | − | 4.16823i | 0.121162 | − | 0.195195i | ||||
\(457\) | −28.4255 | − | 19.3802i | −1.32969 | − | 0.906567i | −0.330385 | − | 0.943846i | \(-0.607179\pi\) |
−0.999305 | + | 0.0372792i | \(0.988131\pi\) | |||||||
\(458\) | −13.4015 | − | 9.85300i | −0.626211 | − | 0.460400i | ||||
\(459\) | 4.21451 | + | 2.43325i | 0.196716 | + | 0.113574i | ||||
\(460\) | 15.2454 | + | 16.3107i | 0.710818 | + | 0.760489i | ||||
\(461\) | 21.8741 | + | 4.99262i | 1.01878 | + | 0.232530i | 0.699121 | − | 0.715003i | \(-0.253575\pi\) |
0.319658 | + | 0.947533i | \(0.396432\pi\) | |||||||
\(462\) | 0.0119402 | − | 5.00697i | 0.000555510 | − | 0.232945i | ||||
\(463\) | 22.3123 | − | 5.09263i | 1.03694 | − | 0.236675i | 0.330024 | − | 0.943973i | \(-0.392943\pi\) |
0.706916 | + | 0.707298i | \(0.250086\pi\) | |||||||
\(464\) | −6.22913 | + | 16.2190i | −0.289180 | + | 0.752949i | ||||
\(465\) | 0.610801 | + | 4.05240i | 0.0283252 | + | 0.187926i | ||||
\(466\) | −0.177375 | − | 0.657168i | −0.00821673 | − | 0.0304427i | ||||
\(467\) | −6.44089 | + | 5.97628i | −0.298049 | + | 0.276549i | −0.814994 | − | 0.579470i | \(-0.803260\pi\) |
0.516945 | + | 0.856019i | \(0.327069\pi\) | |||||||
\(468\) | −23.1866 | + | 11.2706i | −1.07180 | + | 0.520984i | ||||
\(469\) | 3.13863 | + | 28.9514i | 0.144928 | + | 1.33685i | ||||
\(470\) | −3.32796 | + | 30.0294i | −0.153507 | + | 1.38515i | ||||
\(471\) | 1.45524 | − | 0.840186i | 0.0670541 | − | 0.0387137i | ||||
\(472\) | −6.36075 | − | 1.16745i | −0.292777 | − | 0.0537363i | ||||
\(473\) | −25.2331 | − | 23.4129i | −1.16022 | − | 1.07653i | ||||
\(474\) | 0.260812 | + | 0.137234i | 0.0119795 | + | 0.00630339i | ||||
\(475\) | 33.6546 | + | 42.2015i | 1.54418 | + | 1.93634i | ||||
\(476\) | −13.2199 | − | 2.50897i | −0.605931 | − | 0.114999i | ||||
\(477\) | 2.25693 | − | 2.83010i | 0.103338 | − | 0.129581i | ||||
\(478\) | 6.30805 | − | 2.76590i | 0.288523 | − | 0.126509i | ||||
\(479\) | −3.42015 | − | 8.71439i | −0.156270 | − | 0.398171i | 0.831200 | − | 0.555973i | \(-0.187654\pi\) |
−0.987471 | + | 0.157803i | \(0.949559\pi\) | |||||||
\(480\) | −3.39260 | − | 6.27960i | −0.154850 | − | 0.286623i | ||||
\(481\) | 10.9588 | + | 4.30100i | 0.499677 | + | 0.196109i | ||||
\(482\) | 13.8238 | + | 4.80883i | 0.629656 | + | 0.219036i | ||||
\(483\) | 0.977133 | + | 2.26560i | 0.0444611 | + | 0.103088i | ||||
\(484\) | −9.33717 | + | 7.50211i | −0.424417 | + | 0.341005i | ||||
\(485\) | −0.254304 | − | 3.39346i | −0.0115474 | − | 0.154089i | ||||
\(486\) | 2.17647 | − | 11.6191i | 0.0987266 | − | 0.527051i | ||||
\(487\) | −0.535512 | − | 0.785452i | −0.0242664 | − | 0.0355922i | 0.813914 | − | 0.580985i | \(-0.197333\pi\) |
−0.838180 | + | 0.545393i | \(0.816380\pi\) | |||||||
\(488\) | −22.7821 | + | 4.44005i | −1.03130 | + | 0.200992i | ||||
\(489\) | 4.90821i | 0.221957i | ||||||||
\(490\) | 37.0951 | + | 10.2023i | 1.67578 | + | 0.460894i | ||||
\(491\) | 29.7979i | 1.34476i | 0.740207 | + | 0.672379i | \(0.234728\pi\) | ||||
−0.740207 | + | 0.672379i | \(0.765272\pi\) | |||||||
\(492\) | 0.0362784 | + | 0.461472i | 0.00163556 | + | 0.0208048i | ||||
\(493\) | 6.22198 | + | 9.12597i | 0.280224 | + | 0.411013i | ||||
\(494\) | 33.0712 | + | 6.19486i | 1.48794 | + | 0.278720i | ||||
\(495\) | 3.46499 | + | 46.2371i | 0.155740 | + | 2.07820i | ||||
\(496\) | 8.02607 | − | 10.2166i | 0.360381 | − | 0.458740i | ||||
\(497\) | −21.2520 | − | 18.4452i | −0.953282 | − | 0.827379i | ||||
\(498\) | 0.824944 | − | 2.37144i | 0.0369666 | − | 0.106267i | ||||
\(499\) | 2.91098 | + | 1.14248i | 0.130314 | + | 0.0511443i | 0.429602 | − | 0.903018i | \(-0.358654\pi\) |
−0.299288 | + | 0.954163i | \(0.596749\pi\) | |||||||
\(500\) | 39.2018 | − | 6.05527i | 1.75316 | − | 0.270800i | ||||
\(501\) | 1.67116 | + | 4.25805i | 0.0746619 | + | 0.190235i | ||||
\(502\) | 6.08407 | + | 13.8756i | 0.271545 | + | 0.619300i | ||||
\(503\) | −24.6709 | + | 30.9363i | −1.10002 | + | 1.37938i | −0.181788 | + | 0.983338i | \(0.558188\pi\) |
−0.918232 | + | 0.396043i | \(0.870383\pi\) | |||||||
\(504\) | 3.25560 | + | 21.4151i | 0.145016 | + | 0.953905i | ||||
\(505\) | −47.7757 | − | 59.9088i | −2.12599 | − | 2.66591i | ||||
\(506\) | 7.79662 | − | 14.8174i | 0.346602 | − | 0.658713i | ||||
\(507\) | 1.62583 | + | 1.50855i | 0.0722056 | + | 0.0669970i | ||||
\(508\) | −3.85102 | − | 1.17249i | −0.170861 | − | 0.0520209i | ||||
\(509\) | −0.968742 | + | 0.559303i | −0.0429387 | + | 0.0247907i | −0.521316 | − | 0.853364i | \(-0.674559\pi\) |
0.478377 | + | 0.878155i | \(0.341225\pi\) | |||||||
\(510\) | −4.50987 | − | 0.499799i | −0.199700 | − | 0.0221315i | ||||
\(511\) | −10.1181 | + | 10.0333i | −0.447600 | + | 0.443846i | ||||
\(512\) | −7.12125 | + | 21.4776i | −0.314718 | + | 0.949185i | ||||
\(513\) | −7.49492 | + | 6.95427i | −0.330909 | + | 0.307038i | ||||
\(514\) | −19.1572 | + | 5.17069i | −0.844990 | + | 0.228069i | ||||
\(515\) | 0.986075 | + | 6.54218i | 0.0434517 | + | 0.288283i | ||||
\(516\) | −4.49157 | − | 3.03832i | −0.197730 | − | 0.133755i | ||||
\(517\) | 22.0902 | − | 5.04194i | 0.971525 | − | 0.221744i | ||||
\(518\) | 6.18563 | − | 7.71870i | 0.271781 | − | 0.339140i | ||||
\(519\) | −2.48309 | − | 0.566748i | −0.108995 | − | 0.0248775i | ||||
\(520\) | 31.7261 | − | 37.2777i | 1.39128 | − | 1.63473i | ||||
\(521\) | −19.5064 | − | 11.2620i | −0.854590 | − | 0.493398i | 0.00760678 | − | 0.999971i | \(-0.497579\pi\) |
−0.862197 | + | 0.506573i | \(0.830912\pi\) | |||||||
\(522\) | 10.5323 | − | 14.3254i | 0.460986 | − | 0.627007i | ||||
\(523\) | 3.00331 | + | 2.04762i | 0.131326 | + | 0.0895364i | 0.627201 | − | 0.778857i | \(-0.284200\pi\) |
−0.495875 | + | 0.868394i | \(0.665153\pi\) | |||||||
\(524\) | −34.4901 | − | 27.2994i | −1.50671 | − | 1.19258i | ||||
\(525\) | 8.52038 | + | 1.64934i | 0.371860 | + | 0.0719831i | ||||
\(526\) | −16.9594 | + | 27.1004i | −0.739463 | + | 1.18163i | ||||
\(527\) | −2.43453 | − | 7.89256i | −0.106050 | − | 0.343805i | ||||
\(528\) | −3.61199 | + | 3.95030i | −0.157192 | + | 0.171915i | ||||
\(529\) | 1.10221 | − | 14.7080i | 0.0479222 | − | 0.639478i | ||||
\(530\) | −1.76676 | + | 6.64214i | −0.0767431 | + | 0.288516i | ||||
\(531\) | 5.96287 | + | 2.87157i | 0.258767 | + | 0.124615i | ||||
\(532\) | 13.2236 | − | 24.9866i | 0.573318 | − | 1.08331i | ||||
\(533\) | −2.86028 | + | 1.37744i | −0.123893 | + | 0.0596635i | ||||
\(534\) | −0.341147 | − | 1.78515i | −0.0147629 | − | 0.0772509i | ||||
\(535\) | −37.4381 | − | 11.5481i | −1.61859 | − | 0.499269i | ||||
\(536\) | 18.3491 | − | 25.1494i | 0.792560 | − | 1.08629i | ||||
\(537\) | 0.529423 | − | 3.51249i | 0.0228463 | − | 0.151575i | ||||
\(538\) | 13.0793 | − | 1.49788i | 0.563887 | − | 0.0645781i | ||||
\(539\) | −1.91372 | − | 28.7887i | −0.0824299 | − | 1.24002i | ||||
\(540\) | 3.36292 | + | 14.4897i | 0.144717 | + | 0.623537i | ||||
\(541\) | 18.6244 | + | 2.80717i | 0.800723 | + | 0.120690i | 0.536641 | − | 0.843811i | \(-0.319693\pi\) |
0.264082 | + | 0.964500i | \(0.414931\pi\) | |||||||
\(542\) | −7.13698 | − | 8.26274i | −0.306559 | − | 0.354915i | ||||
\(543\) | −0.144839 | + | 0.469557i | −0.00621564 | + | 0.0201506i | ||||
\(544\) | 8.64739 | + | 11.4956i | 0.370754 | + | 0.492868i | ||||
\(545\) | 28.9546 | + | 60.1249i | 1.24028 | + | 2.57547i | ||||
\(546\) | 4.69136 | − | 2.69366i | 0.200771 | − | 0.115278i | ||||
\(547\) | 9.25147 | − | 19.2109i | 0.395564 | − | 0.821397i | −0.604135 | − | 0.796882i | \(-0.706481\pi\) |
0.999699 | − | 0.0245157i | \(-0.00780436\pi\) | |||||||
\(548\) | 0.699178 | − | 4.75659i | 0.0298674 | − | 0.203191i | ||||
\(549\) | 23.6873 | + | 1.77511i | 1.01095 | + | 0.0757601i | ||||
\(550\) | −27.6139 | − | 52.0179i | −1.17746 | − | 2.21805i | ||||
\(551\) | −22.1745 | + | 6.83992i | −0.944664 | + | 0.291390i | ||||
\(552\) | 0.857516 | − | 2.49440i | 0.0364983 | − | 0.106169i | ||||
\(553\) | 1.55369 | + | 0.685670i | 0.0660695 | + | 0.0291576i | ||||
\(554\) | −21.5393 | + | 21.6181i | −0.915116 | + | 0.918465i | ||||
\(555\) | 1.87896 | − | 2.75593i | 0.0797575 | − | 0.116983i | ||||
\(556\) | 32.0663 | + | 18.3576i | 1.35991 | + | 0.778535i | ||||
\(557\) | −12.0915 | + | 20.9431i | −0.512334 | + | 0.887389i | 0.487564 | + | 0.873087i | \(0.337886\pi\) |
−0.999898 | + | 0.0143011i | \(0.995448\pi\) | |||||||
\(558\) | −10.6836 | + | 7.91504i | −0.452273 | + | 0.335070i | ||||
\(559\) | 8.27564 | − | 36.2579i | 0.350022 | − | 1.53355i | ||||
\(560\) | −21.9895 | − | 34.7569i | −0.929228 | − | 1.46875i | ||||
\(561\) | 0.757208 | + | 3.31754i | 0.0319693 | + | 0.140067i | ||||
\(562\) | −6.37943 | − | 5.46969i | −0.269100 | − | 0.230725i | ||||
\(563\) | 15.1246 | − | 2.27967i | 0.637426 | − | 0.0960765i | 0.177624 | − | 0.984098i | \(-0.443159\pi\) |
0.459801 | + | 0.888022i | \(0.347921\pi\) | |||||||
\(564\) | 3.31796 | − | 1.31621i | 0.139711 | − | 0.0554225i | ||||
\(565\) | 11.7900 | + | 12.7066i | 0.496009 | + | 0.534570i | ||||
\(566\) | −18.2064 | + | 6.40804i | −0.765271 | + | 0.269350i | ||||
\(567\) | 2.47759 | − | 21.1869i | 0.104049 | − | 0.889766i | ||||
\(568\) | 3.53201 | + | 29.8751i | 0.148200 | + | 1.25353i | ||||
\(569\) | −13.2353 | − | 22.9243i | −0.554854 | − | 0.961035i | −0.997915 | − | 0.0645433i | \(-0.979441\pi\) |
0.443061 | − | 0.896491i | \(-0.353892\pi\) | |||||||
\(570\) | 3.79621 | − | 8.74455i | 0.159006 | − | 0.366269i | ||||
\(571\) | −13.1045 | + | 14.1233i | −0.548405 | + | 0.591040i | −0.945047 | − | 0.326933i | \(-0.893985\pi\) |
0.396643 | + | 0.917973i | \(0.370175\pi\) | |||||||
\(572\) | −34.2215 | − | 13.2869i | −1.43087 | − | 0.555551i | ||||
\(573\) | 1.07565 | − | 0.857805i | 0.0449361 | − | 0.0358353i | ||||
\(574\) | 0.391263 | + | 2.63854i | 0.0163310 | + | 0.110130i | ||||
\(575\) | 22.6896 | + | 18.0944i | 0.946224 | + | 0.754588i | ||||
\(576\) | 12.8342 | − | 19.2748i | 0.534758 | − | 0.803118i | ||||
\(577\) | −29.3848 | + | 11.5327i | −1.22331 | + | 0.480112i | −0.887056 | − | 0.461661i | \(-0.847254\pi\) |
−0.336249 | + | 0.941773i | \(0.609158\pi\) | |||||||
\(578\) | −14.8853 | + | 0.584198i | −0.619146 | + | 0.0242994i | ||||
\(579\) | 2.11227 | − | 5.38198i | 0.0877830 | − | 0.223667i | ||||
\(580\) | −7.39213 | + | 32.9413i | −0.306941 | + | 1.36781i | ||||
\(581\) | 3.80352 | − | 13.9595i | 0.157797 | − | 0.579138i | ||||
\(582\) | −0.340024 | + | 0.214518i | −0.0140944 | + | 0.00889208i | ||||
\(583\) | 5.14003 | − | 0.385192i | 0.212878 | − | 0.0159530i | ||||
\(584\) | 15.2192 | − | 0.652997i | 0.629774 | − | 0.0270212i | ||||
\(585\) | −41.3911 | + | 28.2200i | −1.71131 | + | 1.16675i | ||||
\(586\) | 28.0256 | + | 0.997382i | 1.15773 | + | 0.0412015i | ||||
\(587\) | 16.3797 | 0.676063 | 0.338032 | − | 0.941135i | \(-0.390239\pi\) | ||||
0.338032 | + | 0.941135i | \(0.390239\pi\) | |||||||
\(588\) | −0.990269 | − | 4.43607i | −0.0408380 | − | 0.182941i | ||||
\(589\) | 17.3528 | 0.715010 | ||||||||
\(590\) | −12.5584 | − | 0.446933i | −0.517022 | − | 0.0183999i | ||||
\(591\) | 4.79982 | − | 3.27246i | 0.197438 | − | 0.134611i | ||||
\(592\) | −10.4445 | + | 1.65239i | −0.429265 | + | 0.0679127i | ||||
\(593\) | −3.15154 | + | 0.236175i | −0.129418 | + | 0.00969856i | −0.139282 | − | 0.990253i | \(-0.544479\pi\) |
0.00986342 | + | 0.999951i | \(0.496860\pi\) | |||||||
\(594\) | 9.43461 | − | 5.95222i | 0.387107 | − | 0.244223i | ||||
\(595\) | −26.1241 | − | 1.08769i | −1.07098 | − | 0.0445908i | ||||
\(596\) | −16.6609 | − | 3.73877i | −0.682459 | − | 0.153146i | ||||
\(597\) | 0.196267 | − | 0.500080i | 0.00803268 | − | 0.0204669i | ||||
\(598\) | 18.0761 | − | 0.709427i | 0.739187 | − | 0.0290106i | ||||
\(599\) | 38.0901 | − | 14.9493i | 1.55632 | − | 0.610810i | 0.577656 | − | 0.816280i | \(-0.303968\pi\) |
0.978663 | + | 0.205470i | \(0.0658724\pi\) | |||||||
\(600\) | −5.55014 | − | 7.43456i | −0.226584 | − | 0.303515i | ||||
\(601\) | −33.6475 | − | 26.8330i | −1.37251 | − | 1.09454i | −0.984977 | − | 0.172687i | \(-0.944755\pi\) |
−0.387535 | − | 0.921855i | \(-0.626673\pi\) | |||||||
\(602\) | −27.0240 | − | 15.6883i | −1.10141 | − | 0.639409i | ||||
\(603\) | −24.9091 | + | 19.8644i | −1.01438 | + | 0.808940i | ||||
\(604\) | 14.5010 | − | 37.3485i | 0.590036 | − | 1.51969i | ||||
\(605\) | −15.8306 | + | 17.0614i | −0.643607 | + | 0.693643i | ||||
\(606\) | −3.60501 | + | 8.30411i | −0.146443 | + | 0.337332i | ||||
\(607\) | 3.94993 | + | 6.84147i | 0.160323 | + | 0.277687i | 0.934984 | − | 0.354689i | \(-0.115413\pi\) |
−0.774662 | + | 0.632376i | \(0.782080\pi\) | |||||||
\(608\) | −28.4336 | + | 10.2418i | −1.15314 | + | 0.415359i | ||||
\(609\) | −1.99828 | + | 3.15071i | −0.0809745 | + | 0.127673i | ||||
\(610\) | −42.5437 | + | 14.9740i | −1.72254 | + | 0.606278i | ||||
\(611\) | 16.6510 | + | 17.9455i | 0.673628 | + | 0.725999i | ||||
\(612\) | −5.42836 | − | 13.6840i | −0.219429 | − | 0.553144i | ||||
\(613\) | −26.0598 | + | 3.92788i | −1.05255 | + | 0.158646i | −0.652453 | − | 0.757829i | \(-0.726260\pi\) |
−0.400092 | + | 0.916475i | \(0.631022\pi\) | |||||||
\(614\) | −16.0139 | − | 13.7302i | −0.646268 | − | 0.554107i | ||||
\(615\) | 0.200153 | + | 0.876926i | 0.00807093 | + | 0.0353611i | ||||
\(616\) | −19.2005 | + | 24.1395i | −0.773612 | + | 0.972607i | ||||
\(617\) | −0.421650 | + | 1.84737i | −0.0169750 | + | 0.0743722i | −0.982706 | − | 0.185173i | \(-0.940715\pi\) |
0.965731 | + | 0.259545i | \(0.0835726\pi\) | |||||||
\(618\) | 0.628060 | − | 0.465304i | 0.0252643 | − | 0.0187173i | ||||
\(619\) | −14.7636 | + | 25.5713i | −0.593399 | + | 1.02780i | 0.400371 | + | 0.916353i | \(0.368881\pi\) |
−0.993771 | + | 0.111445i | \(0.964452\pi\) | |||||||
\(620\) | 12.5430 | − | 21.9095i | 0.503737 | − | 0.879907i | ||||
\(621\) | −3.09662 | + | 4.54190i | −0.124263 | + | 0.182260i | ||||
\(622\) | −4.05563 | + | 4.07047i | −0.162616 | + | 0.163211i | ||||
\(623\) | −2.66796 | − | 10.1274i | −0.106889 | − | 0.405744i | ||||
\(624\) | −5.64744 | − | 1.24565i | −0.226079 | − | 0.0498659i | ||||
\(625\) | 25.3815 | − | 7.82916i | 1.01526 | − | 0.313166i | ||||
\(626\) | −14.1546 | − | 26.6639i | −0.565733 | − | 1.06570i | ||||
\(627\) | −7.12925 | − | 0.534263i | −0.284715 | − | 0.0213364i | ||||
\(628\) | −10.2415 | − | 1.50541i | −0.408680 | − | 0.0600724i | ||||
\(629\) | −2.91675 | + | 6.05670i | −0.116299 | + | 0.241497i | ||||
\(630\) | 12.3106 | + | 40.2505i | 0.490465 | + | 1.60362i | ||||
\(631\) | 15.9944 | + | 33.2127i | 0.636726 | + | 1.32218i | 0.930497 | + | 0.366300i | \(0.119376\pi\) |
−0.293770 | + | 0.955876i | \(0.594910\pi\) | |||||||
\(632\) | −0.735118 | − | 1.66003i | −0.0292414 | − | 0.0660324i | ||||
\(633\) | 2.03001 | − | 6.58112i | 0.0806855 | − | 0.261576i | ||||
\(634\) | −11.0294 | − | 12.7691i | −0.438033 | − | 0.507127i | ||||
\(635\) | −7.73491 | − | 1.16585i | −0.306950 | − | 0.0462653i | ||||
\(636\) | 0.790985 | − | 0.183580i | 0.0313646 | − | 0.00727942i | ||||
\(637\) | 25.9031 | − | 17.3427i | 1.02632 | − | 0.687141i | ||||
\(638\) | 25.1541 | − | 2.88073i | 0.995861 | − | 0.114049i | ||||
\(639\) | 4.58855 | − | 30.4431i | 0.181520 | − | 1.20431i | ||||
\(640\) | −7.62120 | + | 43.3030i | −0.301255 | + | 1.71170i | ||||
\(641\) | −13.2806 | − | 4.09651i | −0.524551 | − | 0.161803i | 0.0211598 | − | 0.999776i | \(-0.493264\pi\) |
−0.545711 | + | 0.837974i | \(0.683740\pi\) | |||||||
\(642\) | 0.868835 | + | 4.54642i | 0.0342902 | + | 0.179433i | ||||
\(643\) | 4.85605 | − | 2.33855i | 0.191504 | − | 0.0922234i | −0.335675 | − | 0.941978i | \(-0.608964\pi\) |
0.527178 | + | 0.849755i | \(0.323250\pi\) | |||||||
\(644\) | 3.94209 | − | 14.6793i | 0.155340 | − | 0.578445i | ||||
\(645\) | −9.49362 | − | 4.57189i | −0.373811 | − | 0.180018i | ||||
\(646\) | −4.93877 | + | 18.5673i | −0.194313 | + | 0.730522i | ||||
\(647\) | 1.65938 | − | 22.1428i | 0.0652368 | − | 0.870525i | −0.864578 | − | 0.502498i | \(-0.832414\pi\) |
0.929815 | − | 0.368027i | \(-0.119967\pi\) | |||||||
\(648\) | −17.2031 | + | 14.9693i | −0.675801 | + | 0.588050i | ||||
\(649\) | 2.77780 | + | 9.00541i | 0.109038 | + | 0.353493i | ||||
\(650\) | 33.7545 | − | 53.9384i | 1.32396 | − | 2.11564i | ||||
\(651\) | 2.12238 | − | 1.81095i | 0.0831825 | − | 0.0709768i | ||||
\(652\) | 18.7653 | − | 23.7081i | 0.734904 | − | 0.928479i | ||||
\(653\) | −12.7808 | − | 8.71379i | −0.500151 | − | 0.340997i | 0.286823 | − | 0.957984i | \(-0.407401\pi\) |
−0.786974 | + | 0.616987i | \(0.788353\pi\) | |||||||
\(654\) | 4.67015 | − | 6.35208i | 0.182617 | − | 0.248386i | ||||
\(655\) | −74.0216 | − | 42.7364i | −2.89226 | − | 1.66985i | ||||
\(656\) | 1.58908 | − | 2.36774i | 0.0620433 | − | 0.0924448i | ||||
\(657\) | −15.1987 | − | 3.46900i | −0.592957 | − | 0.135338i | ||||
\(658\) | 18.5531 | − | 8.88025i | 0.723274 | − | 0.346188i | ||||
\(659\) | −14.0581 | + | 3.20867i | −0.547627 | + | 0.124992i | −0.487378 | − | 0.873191i | \(-0.662047\pi\) |
−0.0602488 | + | 0.998183i | \(0.519189\pi\) | |||||||
\(660\) | −5.82772 | + | 8.61515i | −0.226844 | + | 0.335344i | ||||
\(661\) | 2.48853 | + | 16.5103i | 0.0967924 | + | 0.642176i | 0.983644 | + | 0.180122i | \(0.0576492\pi\) |
−0.886852 | + | 0.462054i | \(0.847113\pi\) | |||||||
\(662\) | 22.0438 | − | 5.94980i | 0.856757 | − | 0.231246i | ||||
\(663\) | −2.69509 | + | 2.50068i | −0.104669 | + | 0.0971184i | ||||
\(664\) | −13.0513 | + | 8.30078i | −0.506489 | + | 0.322133i | ||||
\(665\) | 18.3614 | − | 51.7735i | 0.712026 | − | 2.00769i | ||||
\(666\) | 10.7559 | + | 1.19201i | 0.416783 | + | 0.0461893i | ||||
\(667\) | −10.8049 | + | 6.23820i | −0.418367 | + | 0.241544i | ||||
\(668\) | 8.20735 | − | 26.9568i | 0.317552 | − | 1.04299i | ||||
\(669\) | 2.79033 | + | 2.58905i | 0.107880 | + | 0.100098i | ||||
\(670\) | 28.1691 | − | 53.5350i | 1.08827 | − | 2.06824i | ||||
\(671\) | 21.0889 | + | 26.4447i | 0.814129 | + | 1.02088i | ||||
\(672\) | −2.40880 | + | 4.22000i | −0.0929216 | + | 0.162790i | ||||
\(673\) | −7.14581 | + | 8.96056i | −0.275451 | + | 0.345404i | −0.900244 | − | 0.435386i | \(-0.856612\pi\) |
0.624793 | + | 0.780790i | \(0.285183\pi\) | |||||||
\(674\) | 16.8265 | + | 38.3752i | 0.648131 | + | 1.47816i | ||||
\(675\) | 7.06399 | + | 17.9988i | 0.271893 | + | 0.692773i | ||||
\(676\) | −2.08568 | − | 13.5027i | −0.0802183 | − | 0.519333i | ||||
\(677\) | 18.8112 | + | 7.38286i | 0.722974 | + | 0.283746i | 0.698156 | − | 0.715946i | \(-0.254004\pi\) |
0.0248177 | + | 0.999692i | \(0.492099\pi\) | |||||||
\(678\) | 0.672837 | − | 1.93418i | 0.0258402 | − | 0.0742819i | ||||
\(679\) | −1.86979 | + | 1.36784i | −0.0717560 | + | 0.0524930i | ||||
\(680\) | 19.8731 | + | 19.6565i | 0.762099 | + | 0.753792i | ||||
\(681\) | 0.310788 | + | 4.14718i | 0.0119094 | + | 0.158920i | ||||
\(682\) | −18.6093 | − | 3.48588i | −0.712588 | − | 0.133481i | ||||
\(683\) | 23.2071 | + | 34.0386i | 0.887997 | + | 1.30245i | 0.952501 | + | 0.304534i | \(0.0985008\pi\) |
−0.0645048 | + | 0.997917i | \(0.520547\pi\) | |||||||
\(684\) | 30.8338 | − | 2.42399i | 1.17896 | − | 0.0926834i | ||||
\(685\) | − | 9.34211i | − | 0.356944i | ||||||
\(686\) | −7.44918 | − | 25.1100i | −0.284411 | − | 0.958702i | ||||
\(687\) | 3.81862i | 0.145689i | ||||||||
\(688\) | 10.0793 | + | 31.8483i | 0.384271 | + | 1.21421i | ||||
\(689\) | 3.13713 | + | 4.60132i | 0.119515 | + | 0.175296i | ||||
\(690\) | 0.943676 | − | 5.03781i | 0.0359251 | − | 0.191786i | ||||
\(691\) | 2.01090 | + | 26.8336i | 0.0764982 | + | 1.02080i | 0.894934 | + | 0.446199i | \(0.147223\pi\) |
−0.818435 | + | 0.574599i | \(0.805158\pi\) | |||||||
\(692\) | 9.82720 | + | 12.2310i | 0.373574 | + | 0.464952i | ||||
\(693\) | 25.4766 | − | 18.6374i | 0.967776 | − | 0.707975i | ||||
\(694\) | 20.0434 | + | 6.97243i | 0.760838 | + | 0.264670i | ||||
\(695\) | 66.8349 | + | 26.2308i | 2.53519 | + | 0.994990i | ||||
\(696\) | 3.84695 | − | 1.05342i | 0.145818 | − | 0.0399296i | ||||
\(697\) | −0.662297 | − | 1.68750i | −0.0250863 | − | 0.0639188i | ||||
\(698\) | 15.7263 | − | 6.89554i | 0.595249 | − | 0.261000i | ||||
\(699\) | −0.0974296 | + | 0.122173i | −0.00368513 | + | 0.00462100i | ||||
\(700\) | −34.8500 | − | 40.5422i | −1.31721 | − | 1.53235i | ||||
\(701\) | 21.2533 | + | 26.6508i | 0.802727 | + | 1.00659i | 0.999657 | + | 0.0261705i | \(0.00833128\pi\) |
−0.196930 | + | 0.980417i | \(0.563097\pi\) | |||||||
\(702\) | 10.6661 | + | 5.61227i | 0.402564 | + | 0.211822i | ||||
\(703\) | −10.3533 | − | 9.60642i | −0.390480 | − | 0.362313i | ||||
\(704\) | 32.5499 | − | 5.27158i | 1.22677 | − | 0.198680i | ||||
\(705\) | 6.00681 | − | 3.46803i | 0.226229 | − | 0.130614i | ||||
\(706\) | −3.13221 | + | 28.2631i | −0.117882 | + | 1.06369i | ||||
\(707\) | −17.4366 | + | 49.1658i | −0.655772 | + | 1.84907i | ||||
\(708\) | 0.649040 | + | 1.33524i | 0.0243924 | + | 0.0501816i | ||||
\(709\) | 12.2108 | − | 11.3300i | 0.458588 | − | 0.425507i | −0.416749 | − | 0.909022i | \(-0.636830\pi\) |
0.875336 | + | 0.483515i | \(0.160640\pi\) | |||||||
\(710\) | 15.2327 | + | 56.4366i | 0.571673 | + | 2.11803i | ||||
\(711\) | 0.276919 | + | 1.83724i | 0.0103853 | + | 0.0689017i | ||||
\(712\) | −5.17721 | + | 9.92707i | −0.194024 | + | 0.372033i | ||||
\(713\) | 9.09583 | − | 2.07606i | 0.340642 | − | 0.0777492i | ||||
\(714\) | 1.33365 | + | 2.78634i | 0.0499107 | + | 0.104276i | ||||
\(715\) | −69.5454 | − | 15.8733i | −2.60085 | − | 0.593627i | ||||
\(716\) | −15.9864 | + | 14.9422i | −0.597439 | + | 0.558418i | ||||
\(717\) | −1.36939 | − | 0.790616i | −0.0511407 | − | 0.0295261i | ||||
\(718\) | 25.6969 | + | 18.8928i | 0.959001 | + | 0.705073i | ||||
\(719\) | 37.6255 | + | 25.6526i | 1.40320 | + | 0.956682i | 0.999119 | + | 0.0419567i | \(0.0133591\pi\) |
0.404076 | + | 0.914726i | \(0.367593\pi\) | |||||||
\(720\) | 19.2268 | − | 40.6826i | 0.716540 | − | 1.51615i | ||||
\(721\) | 3.42636 | − | 2.92359i | 0.127604 | − | 0.108880i | ||||
\(722\) | −11.4400 | − | 7.15910i | −0.425752 | − | 0.266434i | ||||
\(723\) | −0.990397 | − | 3.21079i | −0.0368332 | − | 0.119410i | ||||
\(724\) | 2.49484 | − | 1.71434i | 0.0927202 | − | 0.0637130i | ||||
\(725\) | −3.27948 | + | 43.7616i | −0.121797 | + | 1.62526i | ||||
\(726\) | 2.65732 | + | 0.706826i | 0.0986223 | + | 0.0262328i | ||||
\(727\) | −14.1422 | − | 6.81053i | −0.524506 | − | 0.252589i | 0.152843 | − | 0.988250i | \(-0.451157\pi\) |
−0.677349 | + | 0.735662i | \(0.736871\pi\) | |||||||
\(728\) | −32.9591 | − | 4.92503i | −1.22155 | − | 0.182534i | ||||
\(729\) | 19.3471 | − | 9.31705i | 0.716558 | − | 0.345076i | ||||
\(730\) | 29.0743 | − | 5.55618i | 1.07609 | − | 0.205643i | ||||
\(731\) | 20.2932 | + | 6.25961i | 0.750569 | + | 0.231520i | ||||
\(732\) | 3.91927 | + | 3.61000i | 0.144860 | + | 0.133429i | ||||
\(733\) | −7.02146 | + | 46.5843i | −0.259343 | + | 1.72063i | 0.357815 | + | 0.933792i | \(0.383522\pi\) |
−0.617159 | + | 0.786839i | \(0.711716\pi\) | |||||||
\(734\) | 1.58415 | + | 13.8326i | 0.0584721 | + | 0.510570i | ||||
\(735\) | −3.15738 | − | 8.24849i | −0.116462 | − | 0.304250i | ||||
\(736\) | −13.6788 | + | 8.77020i | −0.504206 | + | 0.323274i | ||||
\(737\) | −44.8602 | − | 6.76159i | −1.65245 | − | 0.249067i | ||||
\(738\) | −2.20848 | + | 1.90759i | −0.0812954 | + | 0.0702192i | ||||
\(739\) | 1.26165 | − | 4.09018i | 0.0464107 | − | 0.150460i | −0.929402 | − | 0.369070i | \(-0.879676\pi\) |
0.975812 | + | 0.218610i | \(0.0701524\pi\) | |||||||
\(740\) | −19.6125 | + | 6.12822i | −0.720970 | + | 0.225278i | ||||
\(741\) | −3.35141 | − | 6.95928i | −0.123117 | − | 0.255656i | ||||
\(742\) | 4.47452 | − | 1.36853i | 0.164265 | − | 0.0502403i | ||||
\(743\) | −9.28667 | + | 19.2840i | −0.340695 | + | 0.707460i | −0.998973 | − | 0.0453148i | \(-0.985571\pi\) |
0.658278 | + | 0.752775i | \(0.271285\pi\) | |||||||
\(744\) | −2.98110 | − | 0.0951889i | −0.109293 | − | 0.00348980i | ||||
\(745\) | −33.0871 | − | 2.47954i | −1.21222 | − | 0.0908432i | ||||
\(746\) | −10.0804 | + | 5.35123i | −0.369070 | + | 0.195923i | ||||
\(747\) | 15.1260 | − | 4.66574i | 0.553430 | − | 0.170711i | ||||
\(748\) | 9.02624 | − | 18.9197i | 0.330032 | − | 0.691772i | ||||
\(749\) | 6.79476 | + | 25.7924i | 0.248275 | + | 0.942434i | ||||
\(750\) | −6.45088 | − | 6.42735i | −0.235553 | − | 0.234694i | ||||
\(751\) | −20.4778 | + | 30.0354i | −0.747244 | + | 1.09601i | 0.244733 | + | 0.969590i | \(0.421300\pi\) |
−0.991977 | + | 0.126415i | \(0.959653\pi\) | |||||||
\(752\) | −21.0589 | − | 6.32767i | −0.767938 | − | 0.230746i | ||||
\(753\) | 1.73910 | − | 3.01220i | 0.0633762 | − | 0.109771i | ||||
\(754\) | 16.2840 | + | 21.9799i | 0.593029 | + | 0.800461i | ||||
\(755\) | 17.3237 | − | 75.9002i | 0.630475 | − | 2.76229i | ||||
\(756\) | 7.16458 | − | 7.15659i | 0.260573 | − | 0.260283i | ||||
\(757\) | −4.88733 | − | 21.4128i | −0.177633 | − | 0.778262i | −0.982719 | − | 0.185103i | \(-0.940738\pi\) |
0.805086 | − | 0.593158i | \(-0.202119\pi\) | |||||||
\(758\) | 31.3079 | − | 36.5151i | 1.13715 | − | 1.32629i | ||||
\(759\) | −3.80086 | + | 0.572887i | −0.137962 | + | 0.0207945i | ||||
\(760\) | −51.7693 | + | 27.7249i | −1.87787 | + | 1.00569i | ||||
\(761\) | 11.8169 | + | 12.7356i | 0.428363 | + | 0.461666i | 0.909941 | − | 0.414737i | \(-0.136127\pi\) |
−0.481578 | + | 0.876403i | \(0.659936\pi\) | |||||||
\(762\) | 0.306820 | + | 0.871729i | 0.0111149 | + | 0.0315794i | ||||
\(763\) | 24.3328 | − | 38.3657i | 0.880905 | − | 1.38893i | ||||
\(764\) | −8.47531 | + | 0.0309631i | −0.306626 | + | 0.00112021i | ||||
\(765\) | −14.3030 | − | 24.7735i | −0.517126 | − | 0.895688i | ||||
\(766\) | 19.9838 | + | 8.67543i | 0.722045 | + | 0.313456i | ||||
\(767\) | −6.92554 | + | 7.46396i | −0.250067 | + | 0.269508i | ||||
\(768\) | 4.94090 | − | 1.60350i | 0.178289 | − | 0.0578614i | ||||
\(769\) | 32.3775 | − | 25.8202i | 1.16756 | − | 0.931100i | 0.169049 | − | 0.985608i | \(-0.445930\pi\) |
0.998513 | + | 0.0545075i | \(0.0173589\pi\) | |||||||
\(770\) | −30.0914 | + | 51.8339i | −1.08442 | + | 1.86796i | ||||
\(771\) | 3.56149 | + | 2.84019i | 0.128264 | + | 0.102287i | ||||
\(772\) | −30.7795 | + | 17.9208i | −1.10778 | + | 0.644983i | ||||
\(773\) | 28.4357 | − | 11.1602i | 1.02276 | − | 0.401404i | 0.206105 | − | 0.978530i | \(-0.433921\pi\) |
0.816655 | + | 0.577126i | \(0.195826\pi\) | |||||||
\(774\) | −1.34068 | − | 34.1604i | −0.0481898 | − | 1.22787i | ||||
\(775\) | 11.9891 | − | 30.5478i | 0.430663 | − | 1.09731i | ||||
\(776\) | 2.46257 | + | 0.263807i | 0.0884011 | + | 0.00947012i | ||||
\(777\) | −2.26881 | − | 0.0944627i | −0.0813932 | − | 0.00338883i | ||||
\(778\) | −0.911150 | − | 1.44422i | −0.0326663 | − | 0.0517780i | ||||
\(779\) | 3.79799 | − | 0.284620i | 0.136077 | − | 0.0101976i | ||||
\(780\) | −11.2092 | − | 0.798844i | −0.401354 | − | 0.0286032i | ||||
\(781\) | 36.2214 | − | 24.6954i | 1.29611 | − | 0.883670i | ||||
\(782\) | −0.367389 | + | 10.3233i | −0.0131378 | + | 0.369161i | ||||
\(783\) | −8.31240 | −0.297061 | ||||||||
\(784\) | −12.1769 | + | 25.2136i | −0.434889 | + | 0.900484i | ||||
\(785\) | −20.1146 | −0.717921 | ||||||||
\(786\) | −0.359144 | + | 10.0916i | −0.0128102 | + | 0.359957i | ||||
\(787\) | 11.2333 | − | 7.65875i | 0.400425 | − | 0.273005i | −0.346319 | − | 0.938117i | \(-0.612569\pi\) |
0.746744 | + | 0.665112i | \(0.231616\pi\) | |||||||
\(788\) | −35.6959 | − | 2.54393i | −1.27161 | − | 0.0906239i | ||||
\(789\) | 7.31874 | − | 0.548464i | 0.260554 | − | 0.0195258i | ||||
\(790\) | −1.88237 | − | 2.98366i | −0.0669717 | − | 0.106154i | ||||
\(791\) | 3.10221 | − | 11.3856i | 0.110302 | − | 0.404825i | ||||
\(792\) | −33.5534 | − | 3.59447i | −1.19227 | − | 0.127724i | ||||
\(793\) | −13.3511 | + | 34.0181i | −0.474113 | + | 1.20802i | ||||
\(794\) | 0.637624 | + | 16.2466i | 0.0226284 | + | 0.576569i | ||||
\(795\) | 1.46879 | − | 0.576457i | 0.0520925 | − | 0.0204448i | ||||
\(796\) | −2.85995 | + | 1.66516i | −0.101368 | + | 0.0590199i | ||||
\(797\) | 26.5410 | + | 21.1658i | 0.940132 | + | 0.749730i | 0.968278 | − | 0.249874i | \(-0.0803891\pi\) |
−0.0281467 | + | 0.999604i | \(0.508961\pi\) | |||||||
\(798\) | −6.41976 | + | 0.951972i | −0.227257 | + | 0.0336994i | ||||
\(799\) | −10.9292 | + | 8.71578i | −0.386649 | + | 0.308342i | ||||
\(800\) | −1.61532 | + | 57.1306i | −0.0571101 | + | 2.01987i | ||||
\(801\) | 7.79336 | − | 8.39924i | 0.275365 | − | 0.296773i | ||||
\(802\) | 25.4034 | + | 11.0282i | 0.897025 | + | 0.389419i | ||||
\(803\) | −11.0993 | − | 19.2246i | −0.391687 | − | 0.678422i | ||||
\(804\) | −7.14687 | + | 0.0261099i | −0.252051 | + | 0.000920825i | ||||
\(805\) | 3.43042 | − | 29.3349i | 0.120906 | − | 1.03392i | ||||
\(806\) | −6.79134 | − | 19.2954i | −0.239215 | − | 0.679652i | ||||
\(807\) | −2.05564 | − | 2.21546i | −0.0723620 | − | 0.0779877i | ||||
\(808\) | 49.1618 | − | 26.3285i | 1.72951 | − | 0.926232i | ||||
\(809\) | 47.5818 | − | 7.17180i | 1.67289 | − | 0.252147i | 0.756950 | − | 0.653473i | \(-0.226689\pi\) |
0.915935 | + | 0.401326i | \(0.131451\pi\) | |||||||
\(810\) | −28.8427 | + | 33.6399i | −1.01343 | + | 1.18199i | ||||
\(811\) | −7.93676 | − | 34.7732i | −0.278697 | − | 1.22105i | −0.899442 | − | 0.437040i | \(-0.856027\pi\) |
0.620744 | − | 0.784013i | \(-0.286830\pi\) | |||||||
\(812\) | 21.6982 | − | 7.57894i | 0.761458 | − | 0.265969i | ||||
\(813\) | −0.557753 | + | 2.44368i | −0.0195612 | + | 0.0857034i | ||||
\(814\) | 9.17317 | + | 12.3818i | 0.321519 | + | 0.433982i | ||||
\(815\) | 29.3765 | − | 50.8815i | 1.02901 | − | 1.78230i | ||||
\(816\) | 0.950300 | − | 3.16266i | 0.0332672 | − | 0.110715i | ||||
\(817\) | −25.1337 | + | 36.8644i | −0.879317 | + | 1.28972i | ||||
\(818\) | −33.9894 | − | 33.8654i | −1.18841 | − | 1.18408i | ||||
\(819\) | 31.2013 | + | 13.7697i | 1.09026 | + | 0.481152i | ||||
\(820\) | 2.38590 | − | 5.00104i | 0.0833194 | − | 0.174644i | ||||
\(821\) | −52.8334 | + | 16.2969i | −1.84390 | + | 0.568767i | −0.844447 | + | 0.535639i | \(0.820071\pi\) |
−0.999451 | + | 0.0331287i | \(0.989453\pi\) | |||||||
\(822\) | −0.974859 | + | 0.517509i | −0.0340021 | + | 0.0180502i | ||||
\(823\) | −19.8325 | − | 1.48624i | −0.691316 | − | 0.0518070i | −0.275561 | − | 0.961284i | \(-0.588864\pi\) |
−0.415755 | + | 0.909477i | \(0.636483\pi\) | |||||||
\(824\) | −4.81268 | − | 0.153673i | −0.167658 | − | 0.00535344i | ||||
\(825\) | −5.86615 | + | 12.1812i | −0.204233 | + | 0.424094i | ||||
\(826\) | 4.25984 | + | 7.41906i | 0.148219 | + | 0.258142i | ||||
\(827\) | −20.6355 | − | 42.8500i | −0.717565 | − | 1.49004i | −0.865429 | − | 0.501031i | \(-0.832954\pi\) |
0.147864 | − | 0.989008i | \(-0.452760\pi\) | |||||||
\(828\) | 15.8722 | − | 4.95949i | 0.551596 | − | 0.172354i | ||||
\(829\) | 15.9699 | − | 51.7730i | 0.554656 | − | 1.79815i | −0.0463732 | − | 0.998924i | \(-0.514766\pi\) |
0.601029 | − | 0.799227i | \(-0.294757\pi\) | |||||||
\(830\) | −22.7454 | + | 19.6464i | −0.789503 | + | 0.681936i | ||||
\(831\) | 6.92753 | + | 1.04416i | 0.240313 | + | 0.0362214i | ||||
\(832\) | 22.5164 | + | 27.6084i | 0.780614 | + | 0.957149i | ||||
\(833\) | 8.77004 | + | 15.4900i | 0.303864 | + | 0.536697i | ||||
\(834\) | −0.965128 | − | 8.42736i | −0.0334197 | − | 0.291816i | ||||
\(835\) | 8.16085 | − | 54.1437i | 0.282418 | − | 1.87372i | ||||
\(836\) | 32.3937 | + | 29.8375i | 1.12036 | + | 1.03195i | ||||
\(837\) | 5.93979 | + | 1.83218i | 0.205309 | + | 0.0633295i | ||||
\(838\) | 44.1209 | − | 8.43164i | 1.52413 | − | 0.291266i | ||||
\(839\) | −35.4474 | + | 17.0706i | −1.22378 | + | 0.589341i | −0.930362 | − | 0.366643i | \(-0.880507\pi\) |
−0.293418 | + | 0.955984i | \(0.594793\pi\) | |||||||
\(840\) | −3.43838 | + | 8.79364i | −0.118635 | + | 0.303409i | ||||
\(841\) | 9.13026 | + | 4.39690i | 0.314837 | + | 0.151617i | ||||
\(842\) | 14.8198 | + | 3.94196i | 0.510724 | + | 0.135849i | ||||
\(843\) | −0.144165 | + | 1.92374i | −0.00496529 | + | 0.0662573i | ||||
\(844\) | −34.9667 | + | 24.0275i | −1.20360 | + | 0.827060i | ||||
\(845\) | −7.82543 | − | 25.3694i | −0.269203 | − | 0.872734i | ||||
\(846\) | 19.0760 | + | 11.9377i | 0.655846 | + | 0.410426i | ||||
\(847\) | 15.5562 | + | 3.01130i | 0.534517 | + | 0.103470i | ||||
\(848\) | −4.52256 | − | 2.13738i | −0.155305 | − | 0.0733980i | ||||
\(849\) | 3.66104 | + | 2.49606i | 0.125647 | + | 0.0856644i | ||||
\(850\) | 29.2737 | + | 21.5225i | 1.00408 | + | 0.738214i | ||||
\(851\) | −6.57617 | − | 3.79675i | −0.225428 | − | 0.130151i | ||||
\(852\) | 5.04541 | − | 4.71587i | 0.172853 | − | 0.161563i | ||||
\(853\) | 29.8772 | + | 6.81927i | 1.02298 | + | 0.233488i | 0.700925 | − | 0.713235i | \(-0.252771\pi\) |
0.322051 | + | 0.946722i | \(0.395628\pi\) | |||||||
\(854\) | 23.9603 | + | 19.2014i | 0.819905 | + | 0.657057i | ||||
\(855\) | 58.5929 | − | 13.3734i | 2.00383 | − | 0.457362i | ||||
\(856\) | 13.1853 | − | 25.2823i | 0.450666 | − | 0.864131i | ||||
\(857\) | −1.85531 | − | 12.3092i | −0.0633762 | − | 0.420474i | −0.997911 | − | 0.0646022i | \(-0.979422\pi\) |
0.934535 | − | 0.355872i | \(-0.115816\pi\) | |||||||
\(858\) | 2.19609 | + | 8.13644i | 0.0749733 | + | 0.277774i | ||||
\(859\) | −24.1279 | + | 22.3875i | −0.823235 | + | 0.763850i | −0.974439 | − | 0.224652i | \(-0.927875\pi\) |
0.151204 | + | 0.988503i | \(0.451685\pi\) | |||||||
\(860\) | 28.3775 | + | 58.3799i | 0.967664 | + | 1.99074i | ||||
\(861\) | 0.434819 | − | 0.431172i | 0.0148186 | − | 0.0146943i | ||||
\(862\) | 1.03671 | − | 9.35460i | 0.0353105 | − | 0.318619i | ||||
\(863\) | −33.9885 | + | 19.6233i | −1.15698 | + | 0.667984i | −0.950579 | − | 0.310483i | \(-0.899509\pi\) |
−0.206404 | + | 0.978467i | \(0.566176\pi\) | |||||||
\(864\) | −10.8141 | + | 0.503577i | −0.367902 | + | 0.0171320i | ||||
\(865\) | 22.3491 | + | 20.7370i | 0.759893 | + | 0.705078i | ||||
\(866\) | −27.9484 | − | 14.7059i | −0.949726 | − | 0.499727i | ||||
\(867\) | 2.13224 | + | 2.67375i | 0.0724147 | + | 0.0908052i | ||||
\(868\) | −17.1754 | + | 0.633060i | −0.582971 | + | 0.0214874i | ||||
\(869\) | −1.64955 | + | 2.06847i | −0.0559572 | + | 0.0701681i | ||||
\(870\) | 7.09806 | − | 3.11230i | 0.240647 | − | 0.105517i | ||||
\(871\) | −17.9074 | − | 45.6274i | −0.606770 | − | 1.54602i | ||||
\(872\) | −46.8437 | + | 12.8273i | −1.58633 | + | 0.434386i | ||||
\(873\) | −2.35939 | − | 0.925992i | −0.0798533 | − | 0.0313401i | ||||
\(874\) | −20.4977 | − | 7.13045i | −0.693345 | − | 0.241191i | ||||
\(875\) | −39.6294 | − | 34.3954i | −1.33972 | − | 1.16278i | ||||
\(876\) | −2.19037 | − | 2.72615i | −0.0740058 | − | 0.0921080i | ||||
\(877\) | −1.83364 | − | 24.4683i | −0.0619177 | − | 0.826234i | −0.938565 | − | 0.345102i | \(-0.887844\pi\) |
0.876648 | − | 0.481133i | \(-0.159775\pi\) | |||||||
\(878\) | 6.95764 | − | 37.1433i | 0.234809 | − | 1.25353i | ||||
\(879\) | −3.62661 | − | 5.31925i | −0.122322 | − | 0.179414i | ||||
\(880\) | 61.0873 | − | 19.3329i | 2.05925 | − | 0.651711i | ||||
\(881\) | − | 12.9485i | − | 0.436245i | −0.975921 | − | 0.218122i | \(-0.930007\pi\) | ||
0.975921 | − | 0.218122i | \(-0.0699932\pi\) | |||||||
\(882\) | 18.8342 | − | 21.5959i | 0.634180 | − | 0.727173i | ||||
\(883\) | − | 32.6937i | − | 1.10023i | −0.835088 | − | 0.550116i | \(-0.814583\pi\) | ||
0.835088 | − | 0.550116i | \(-0.185417\pi\) | |||||||
\(884\) | 22.5788 | − | 1.77502i | 0.759406 | − | 0.0597004i | ||||
\(885\) | 1.62510 | + | 2.38359i | 0.0546273 | + | 0.0801235i | ||||
\(886\) | −6.49002 | − | 1.21570i | −0.218037 | − | 0.0408423i | ||||
\(887\) | −0.433610 | − | 5.78612i | −0.0145592 | − | 0.194279i | −0.999741 | − | 0.0227647i | \(-0.992753\pi\) |
0.985182 | − | 0.171514i | \(-0.0548659\pi\) | |||||||
\(888\) | 1.72593 | + | 1.70711i | 0.0579183 | + | 0.0572870i | ||||
\(889\) | 2.10897 | + | 4.88990i | 0.0707327 | + | 0.164002i | ||||
\(890\) | −7.14788 | + | 20.5478i | −0.239597 | + | 0.688763i | ||||
\(891\) | 30.9343 | + | 12.1408i | 1.03634 | + | 0.406733i | ||||
\(892\) | −3.57954 | − | 23.1740i | −0.119852 | − | 0.775921i | ||||
\(893\) | −10.7298 | − | 27.3390i | −0.359058 | − | 0.914866i | ||||
\(894\) | 1.57413 | + | 3.59003i | 0.0526467 | + | 0.120069i | ||||
\(895\) | −26.5112 | + | 33.2440i | −0.886172 | + | 1.11122i | ||||
\(896\) | 27.7693 | − | 11.1744i | 0.927707 | − | 0.373310i | ||||
\(897\) | −2.58931 | − | 3.24689i | −0.0864546 | − | 0.108411i | ||||
\(898\) | −3.40506 | + | 6.47127i | −0.113628 | + | 0.215949i | ||||
\(899\) | 10.3419 | + | 9.59585i | 0.344921 | + | 0.320040i | ||||
\(900\) | 17.0361 | − | 55.9545i | 0.567869 | − | 1.86515i | ||||
\(901\) | −2.75399 | + | 1.59002i | −0.0917488 | + | 0.0529712i | ||||
\(902\) | −4.13017 | − | 0.457720i | −0.137520 | − | 0.0152404i | ||||
\(903\) | 0.773155 | + | 7.13176i | 0.0257290 | + | 0.237330i | ||||
\(904\) | −10.6449 | + | 6.77025i | −0.354043 | + | 0.225175i | ||||
\(905\) | 4.31187 | − | 4.00083i | 0.143331 | − | 0.132992i | ||||
\(906\) | −8.87993 | + | 2.39676i | −0.295016 | + | 0.0796271i | ||||
\(907\) | 5.58891 | + | 37.0800i | 0.185577 | + | 1.23122i | 0.866617 | + | 0.498974i | \(0.166290\pi\) |
−0.681040 | + | 0.732246i | \(0.738472\pi\) | |||||||
\(908\) | 14.3545 | − | 21.2203i | 0.476370 | − | 0.704220i | ||||
\(909\) | −55.6417 | + | 12.6999i | −1.84552 | + | 0.421228i | ||||
\(910\) | −64.7555 | − | 0.154424i | −2.14662 | − | 0.00511910i | ||||
\(911\) | 4.13322 | + | 0.943381i | 0.136940 | + | 0.0312556i | 0.290441 | − | 0.956893i | \(-0.406198\pi\) |
−0.153502 | + | 0.988148i | \(0.549055\pi\) | |||||||
\(912\) | 5.76090 | + | 3.86636i | 0.190762 | + | 0.128028i | ||||
\(913\) | 19.5202 | + | 11.2700i | 0.646024 | + | 0.372982i | ||||
\(914\) | 28.8201 | − | 39.1995i | 0.953285 | − | 1.29661i | ||||
\(915\) | 8.55493 | + | 5.83266i | 0.282817 | + | 0.192822i | ||||
\(916\) | 14.5995 | − | 18.4450i | 0.482381 | − | 0.609440i | ||||
\(917\) | 1.93085 | + | 58.1568i | 0.0637622 | + | 1.92051i | ||||
\(918\) | −3.65094 | + | 5.83406i | −0.120499 | + | 0.192553i | ||||
\(919\) | −1.54394 | − | 5.00533i | −0.0509299 | − | 0.165111i | 0.926535 | − | 0.376208i | \(-0.122772\pi\) |
−0.977465 | + | 0.211098i | \(0.932296\pi\) | |||||||
\(920\) | −23.8190 | + | 20.7262i | −0.785288 | + | 0.683321i | ||||
\(921\) | −0.361888 | + | 4.82905i | −0.0119246 | + | 0.159123i | ||||
\(922\) | −8.15639 | + | 30.6640i | −0.268616 | + | 1.00986i | ||||
\(923\) | 42.6741 | + | 20.5508i | 1.40464 | + | 0.676437i | ||||
\(924\) | 7.07585 | + | 0.268714i | 0.232778 | + | 0.00884004i | ||||
\(925\) | −24.0642 | + | 11.5887i | −0.791227 | + | 0.381035i | ||||
\(926\) | 6.07526 | + | 31.7905i | 0.199645 | + | 1.04470i | ||||
\(927\) | 4.70885 | + | 1.45249i | 0.154659 | + | 0.0477060i | ||||
\(928\) | −22.6093 | − | 9.61952i | −0.742188 | − | 0.315776i | ||||
\(929\) | 1.40032 | − | 9.29050i | 0.0459429 | − | 0.304811i | −0.954044 | − | 0.299667i | \(-0.903124\pi\) |
0.999987 | − | 0.00514430i | \(-0.00163749\pi\) | |||||||
\(930\) | −5.75806 | + | 0.659431i | −0.188814 | + | 0.0216236i | ||||
\(931\) | −36.5289 | + | 8.01440i | −1.19719 | + | 0.262661i | ||||
\(932\) | 0.937709 | − | 0.217633i | 0.0307157 | − | 0.00712881i | ||||
\(933\) | 1.30439 | + | 0.196604i | 0.0427037 | + | 0.00643654i | ||||
\(934\) | −8.12242 | − | 9.40363i | −0.265774 | − | 0.307696i | ||||
\(935\) | 12.0064 | − | 38.9237i | 0.392651 | − | 1.27294i | ||||
\(936\) | −14.7627 | − | 33.3369i | −0.482535 | − | 1.08965i | ||||
\(937\) | −18.0526 | − | 37.4867i | −0.589754 | − | 1.22464i | −0.955794 | − | 0.294037i | \(-0.905001\pi\) |
0.366040 | − | 0.930599i | \(-0.380713\pi\) | |||||||
\(938\) | −41.0754 | + | 2.97969i | −1.34116 | + | 0.0972904i | ||||
\(939\) | −3.00693 | + | 6.24396i | −0.0981275 | + | 0.203764i | ||||
\(940\) | −42.2737 | − | 6.21388i | −1.37882 | − | 0.202674i | ||||
\(941\) | −45.8896 | − | 3.43895i | −1.49596 | − | 0.112107i | −0.698557 | − | 0.715554i | \(-0.746174\pi\) |
−0.797403 | + | 0.603448i | \(0.793793\pi\) | |||||||
\(942\) | 1.11425 | + | 2.09898i | 0.0363044 | + | 0.0683886i | ||||
\(943\) | 1.95674 | − | 0.603575i | 0.0637203 | − | 0.0196551i | ||||
\(944\) | 1.96991 | − | 8.93105i | 0.0641152 | − | 0.290681i | ||||
\(945\) | 11.7515 | − | 15.7832i | 0.382276 | − | 0.513426i | ||||
\(946\) | 34.3590 | − | 34.4848i | 1.11711 | − | 1.12120i | ||||
\(947\) | −9.92806 | + | 14.5618i | −0.322619 | + | 0.473195i | −0.952948 | − | 0.303133i | \(-0.901967\pi\) |
0.630330 | + | 0.776328i | \(0.282920\pi\) | |||||||
\(948\) | −0.207074 | + | 0.361708i | −0.00672546 | + | 0.0117477i | ||||
\(949\) | 11.9920 | − | 20.7708i | 0.389277 | − | 0.674248i | ||||
\(950\) | −61.3369 | + | 45.4420i | −1.99003 | + | 1.47433i | ||||
\(951\) | −0.861943 | + | 3.77642i | −0.0279504 | + | 0.122459i | ||||
\(952\) | 4.21091 | − | 18.5577i | 0.136476 | − | 0.601458i | ||||
\(953\) | 3.35018 | + | 14.6781i | 0.108523 | + | 0.475470i | 0.999759 | + | 0.0219311i | \(0.00698144\pi\) |
−0.891237 | + | 0.453539i | \(0.850161\pi\) | |||||||
\(954\) | 3.88631 | + | 3.33210i | 0.125824 | + | 0.107881i | ||||
\(955\) | −16.2850 | + | 2.45457i | −0.526970 | + | 0.0794280i | ||||
\(956\) | 3.59182 | + | 9.05440i | 0.116168 | + | 0.292840i | ||||
\(957\) | −3.95343 | − | 4.26078i | −0.127796 | − | 0.137731i | ||||
\(958\) | 12.4882 | − | 4.39544i | 0.403477 | − | 0.142010i | ||||
\(959\) | −5.39936 | + | 3.36101i | −0.174354 | + | 0.108533i | ||||
\(960\) | 9.04572 | − | 4.47898i | 0.291949 | − | 0.144558i | ||||
\(961\) | 10.2251 | + | 17.7104i | 0.329842 | + | 0.571303i | ||||
\(962\) | −6.62989 | + | 15.2719i | −0.213756 | + | 0.492386i | ||||
\(963\) | −19.8482 | + | 21.3912i | −0.639598 | + | 0.689322i | ||||
\(964\) | −7.49171 | + | 19.2955i | −0.241292 | + | 0.621468i | ||||
\(965\) | −54.1092 | + | 43.1506i | −1.74184 | + | 1.38907i | ||||
\(966\) | −3.25116 | + | 1.26705i | −0.104604 | + | 0.0407665i | ||||
\(967\) | 40.4271 | + | 32.2395i | 1.30005 | + | 1.03675i | 0.996470 | + | 0.0839463i | \(0.0267524\pi\) |
0.303577 | + | 0.952807i | \(0.401819\pi\) | |||||||
\(968\) | −10.1332 | − | 13.5737i | −0.325695 | − | 0.436276i | ||||
\(969\) | 4.10583 | − | 1.61142i | 0.131898 | − | 0.0517662i | ||||
\(970\) | 4.80883 | − | 0.188731i | 0.154402 | − | 0.00605977i | ||||
\(971\) | 20.1785 | − | 51.4139i | 0.647558 | − | 1.64995i | −0.107431 | − | 0.994213i | \(-0.534262\pi\) |
0.754989 | − | 0.655738i | \(-0.227642\pi\) | |||||||
\(972\) | 16.3120 | + | 3.66045i | 0.523207 | + | 0.117409i | ||||
\(973\) | −8.88488 | − | 48.0650i | −0.284836 | − | 1.54089i | ||||
\(974\) | 1.13703 | − | 0.717343i | 0.0364328 | − | 0.0229851i | ||||
\(975\) | −14.5666 | + | 1.09162i | −0.466505 | + | 0.0349597i | ||||
\(976\) | −5.12932 | − | 32.4216i | −0.164186 | − | 1.03779i | ||||
\(977\) | −29.1504 | + | 19.8744i | −0.932605 | + | 0.635839i | −0.931336 | − | 0.364160i | \(-0.881356\pi\) |
−0.00126838 | + | 0.999999i | \(0.500404\pi\) | |||||||
\(978\) | −6.93686 | − | 0.246871i | −0.221816 | − | 0.00789406i | ||||
\(979\) | 16.3155 | 0.521444 | ||||||||
\(980\) | −16.2849 | + | 51.9140i | −0.520203 | + | 1.65833i | ||||
\(981\) | 49.7044 | 1.58694 | ||||||||
\(982\) | −42.1139 | − | 1.49876i | −1.34391 | − | 0.0478273i | ||||
\(983\) | −35.2819 | + | 24.0548i | −1.12532 | + | 0.767229i | −0.975175 | − | 0.221435i | \(-0.928926\pi\) |
−0.150143 | + | 0.988664i | \(0.547973\pi\) | |||||||
\(984\) | −0.654032 | + | 0.0280620i | −0.0208498 | + | 0.000894584i | ||||
\(985\) | −69.3441 | + | 5.19663i | −2.20949 | + | 0.165578i | ||||
\(986\) | −13.2109 | + | 8.33463i | −0.420719 | + | 0.265429i | ||||
\(987\) | −4.16545 | − | 2.22400i | −0.132588 | − | 0.0707907i | ||||
\(988\) | −10.4187 | + | 46.4286i | −0.331464 | + | 1.47709i | ||||
\(989\) | −8.76395 | + | 22.3302i | −0.278677 | + | 0.710058i | ||||
\(990\) | −65.5221 | + | 2.57152i | −2.08243 | + | 0.0817284i | ||||
\(991\) | 26.6108 | − | 10.4440i | 0.845318 | − | 0.331763i | 0.0971482 | − | 0.995270i | \(-0.469028\pi\) |
0.748170 | + | 0.663507i | \(0.230933\pi\) | |||||||
\(992\) | 14.0357 | + | 11.8573i | 0.445632 | + | 0.376468i | ||||
\(993\) | −4.09812 | − | 3.26814i | −0.130050 | − | 0.103711i | ||||
\(994\) | 27.1378 | − | 29.1081i | 0.860760 | − | 0.923253i | ||||
\(995\) | −5.02769 | + | 4.00945i | −0.159389 | + | 0.127108i | ||||
\(996\) | 3.31011 | + | 1.28519i | 0.104885 | + | 0.0407227i | ||||
\(997\) | −15.8947 | + | 17.1304i | −0.503389 | + | 0.542525i | −0.932710 | − | 0.360628i | \(-0.882563\pi\) |
0.429321 | + | 0.903152i | \(0.358753\pi\) | |||||||
\(998\) | −1.76110 | + | 4.05668i | −0.0557466 | + | 0.128412i | ||||
\(999\) | −2.52959 | − | 4.38137i | −0.0800326 | − | 0.138620i |
(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 | 196.2.p.a.59.14 | ✓ | 312 | |
4.3 | odd | 2 | inner | 196.2.p.a.59.17 | yes | 312 | |
49.5 | odd | 42 | inner | 196.2.p.a.103.17 | yes | 312 | |
196.103 | even | 42 | inner | 196.2.p.a.103.14 | yes | 312 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
196.2.p.a.59.14 | ✓ | 312 | 1.1 | even | 1 | trivial | |
196.2.p.a.59.17 | yes | 312 | 4.3 | odd | 2 | inner | |
196.2.p.a.103.14 | yes | 312 | 196.103 | even | 42 | inner | |
196.2.p.a.103.17 | yes | 312 | 49.5 | odd | 42 | inner |